{"id":2072,"date":"2022-01-26T22:17:58","date_gmt":"2022-01-26T22:17:58","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=2072"},"modified":"2022-02-09T20:48:23","modified_gmt":"2022-02-09T20:48:23","slug":"15c","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/15c\/","title":{"raw":"15C","rendered":"15C"},"content":{"raw":"<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>On-Time Flights<\/strong><\/td>\r\n<td><strong>Delayed Flights<\/strong><\/td>\r\n<td><strong>Canceled Flights<\/strong><\/td>\r\n<td><strong>Diverted Flights<\/strong><\/td>\r\n<td><strong>Total<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td>12,716<\/td>\r\n<td>904<\/td>\r\n<td>23<\/td>\r\n<td>8<\/td>\r\n<td>13,651<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td>2,240<\/td>\r\n<td>299<\/td>\r\n<td>22<\/td>\r\n<td>1<\/td>\r\n<td>2,562<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>On-Time Percentage Flights<\/strong><\/td>\r\n<td><strong>Delayed Percentage Flights<\/strong><\/td>\r\n<td><strong>Canceled Percentage Flights<\/strong><\/td>\r\n<td><strong>Diverted Percentage Flights<\/strong><\/td>\r\n<td><strong>Total<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td>93.15%<\/td>\r\n<td>6.62%<\/td>\r\n<td>0.17%<\/td>\r\n<td>0.06%<\/td>\r\n<td>100%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>On-Time Percentage Flights<\/strong><\/td>\r\n<td><strong>Delayed Percentage Flights<\/strong><\/td>\r\n<td><strong>Canceled Percentage Flights<\/strong><\/td>\r\n<td><strong>Diverted Percentage Flights<\/strong><\/td>\r\n<td><strong>Total<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td>100%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>On-Time Percentage Flights<\/strong><\/td>\r\n<td><strong>Delayed Percentage Flights<\/strong><\/td>\r\n<td><strong>Canceled Percentage Flights<\/strong><\/td>\r\n<td><strong>Diverted Percentage Flights<\/strong><\/td>\r\n<td><strong>Total<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Overall<\/strong><\/td>\r\n<td>92.246962%<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td>100%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Expected On-Time Flights<\/strong><\/td>\r\n<td><strong>Expected Delayed Flights<\/strong><\/td>\r\n<td><strong>Expected Canceled Flights<\/strong><\/td>\r\n<td><strong>Expected Diverted Flights<\/strong><\/td>\r\n<td><strong>Total Flights<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td>12,592.633<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td>13,651<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td>2,363.367<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td>2,562<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total Flights<\/strong><\/td>\r\n<td>14,956<\/td>\r\n<td>1,203<\/td>\r\n<td>45<\/td>\r\n<td>9<\/td>\r\n<td>16,213<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>On-Time Flights<\/strong><\/td>\r\n<td><strong>Delayed Flights<\/strong><\/td>\r\n<td><strong>Canceled Flights<\/strong><\/td>\r\n<td><strong>Diverted Flights<\/strong><\/td>\r\n<td><strong>Total<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>American Airlines<\/strong><\/td>\r\n<td>42,600<\/td>\r\n<td>4,657<\/td>\r\n<td>296<\/td>\r\n<td>95<\/td>\r\n<td>47,648<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td>51,620<\/td>\r\n<td>4,030<\/td>\r\n<td>150<\/td>\r\n<td>56<\/td>\r\n<td>55,856<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td>69,384<\/td>\r\n<td>9,280<\/td>\r\n<td>1,782<\/td>\r\n<td>128<\/td>\r\n<td>80,574<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total <\/strong><\/td>\r\n<td>163,604<\/td>\r\n<td>17,967<\/td>\r\n<td>2,228<\/td>\r\n<td>279<\/td>\r\n<td>184,078<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Standardized Residual for On-time Flights<\/strong><\/td>\r\n<td><strong>Standardized Residual for Delayed Flights<\/strong><\/td>\r\n<td><strong>Standardized Residual for Canceled Flights<\/strong><\/td>\r\n<td><strong>Standardized Residual for Diverted Flights<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td>31.9<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Standardized Residual for On-time Flights<\/strong><\/td>\r\n<td><strong>Standardized Residual for Delayed Flights<\/strong><\/td>\r\n<td><strong>Standardized Residual for Canceled Flights<\/strong><\/td>\r\n<td><strong>Standardized Residual for Diverted Flights<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td>33.3<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>On-Time Flights<\/strong><\/td>\r\n<td><strong>Delayed Flights<\/strong><\/td>\r\n<td><strong>Canceled Flights<\/strong><\/td>\r\n<td><strong>Diverted Flights<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>American Airlines<\/strong><\/td>\r\n<td>378<\/td>\r\n<td>48<\/td>\r\n<td>1<\/td>\r\n<td>0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td>12,716<\/td>\r\n<td>904<\/td>\r\n<td>23<\/td>\r\n<td>8<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td>2,240<\/td>\r\n<td>299<\/td>\r\n<td>22<\/td>\r\n<td>1<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Good<\/strong><\/td>\r\n<td><strong>Fair<\/strong><\/td>\r\n<td><strong>Poor<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>New Jersey<\/strong><\/td>\r\n<td>26<\/td>\r\n<td>87<\/td>\r\n<td>7<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>New York<\/strong><\/td>\r\n<td>71<\/td>\r\n<td>136<\/td>\r\n<td>13<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Pennsylvania<\/strong><\/td>\r\n<td>57<\/td>\r\n<td>158<\/td>\r\n<td>15<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Good<\/strong><\/td>\r\n<td><strong>Fair<\/strong><\/td>\r\n<td><strong>Poor<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Arkansas<\/strong><\/td>\r\n<td>92<\/td>\r\n<td>93<\/td>\r\n<td>5<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Missouri<\/strong><\/td>\r\n<td>78<\/td>\r\n<td>134<\/td>\r\n<td>8<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Oklahoma<\/strong><\/td>\r\n<td>110<\/td>\r\n<td>87<\/td>\r\n<td>5<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>On-Time Flights<\/strong><\/td>\r\n<td><strong>Delayed Flights<\/strong><\/td>\r\n<td><strong>Canceled Flights<\/strong><\/td>\r\n<td><strong>Diverted Flights<\/strong><\/td>\r\n<td><strong>Total<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>American Airlines<\/strong><\/td>\r\n<td>42,600<\/td>\r\n<td>4,657<\/td>\r\n<td>296<\/td>\r\n<td>95<\/td>\r\n<td>47,648<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td>51,620<\/td>\r\n<td>4,030<\/td>\r\n<td>150<\/td>\r\n<td>56<\/td>\r\n<td>55,856<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td>69,384<\/td>\r\n<td>9,280<\/td>\r\n<td>1,782<\/td>\r\n<td>128<\/td>\r\n<td>80,574<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total <\/strong><\/td>\r\n<td>163,604<\/td>\r\n<td>17,967<\/td>\r\n<td>2,228<\/td>\r\n<td>279<\/td>\r\n<td>184,078<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Percentage On-Time Flights<\/strong><\/td>\r\n<td><strong>Percentage Delayed Flights<\/strong><\/td>\r\n<td><strong>Percentage Canceled Flights<\/strong><\/td>\r\n<td><strong>Percentage Diverted Flights<\/strong><\/td>\r\n<td><strong>Total<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>American Airlines<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Percentage On-Time Flights<\/strong><\/td>\r\n<td><strong>Percentage Delayed Flights<\/strong><\/td>\r\n<td><strong>Percentage Canceled Flights<\/strong><\/td>\r\n<td><strong>Percentage Diverted Flights<\/strong><\/td>\r\n<td><strong>Total<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>American Airlines<\/strong><\/td>\r\n<td>89.4%<\/td>\r\n<td>9.8%<\/td>\r\n<td>0.6%<\/td>\r\n<td>0.2%<\/td>\r\n<td>100%<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Overall <\/strong><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Expected Count of On-time Flights<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>American Airlines<\/strong><\/td>\r\n<td>42,348.4<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Delta Airlines<\/strong><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Southwest Airlines<\/strong><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Total <\/strong><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><strong>Expected On-Time Flights<\/strong><\/td>\r\n<td><strong>Expected Delayed Flights<\/strong><\/td>\r\n<td><strong>Expected Canceled Flights<\/strong><\/td>\r\n<td><strong>Expected Diverted Flights<\/strong><\/td>\r\n<td><strong>Total Flights<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>American Airlines<\/strong><\/td>\r\n<td>42,348.4<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td>47,648<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div style=\"text-align: left;\" align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Skill or Concept: I can . . .<\/td>\r\n<td>Questions to check your understanding<\/td>\r\n<td>Rating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Understand the purpose of a chi-square test of homogeneity.<\/td>\r\n<td>1, 2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Identify the null and alternative hypotheses for a chi-square test of homogeneity.<\/td>\r\n<td>3<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Determine the expected count for each cell of a two-way table for a chi-square test of homogeneity.<\/td>\r\n<td>4, 5<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<dl>Glossary<\/dl>\r\n<dl id=\"fs-id1170572229168\" class=\"definition\">\r\n \t<dt>two-way table<\/dt>\r\n \t<dd id=\"fs-id1170572229174\">a table giving the counts for each value of the distributions of a categorical variable for multiple populations, also called a\u00a0<strong>contingency table<\/strong>.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572229190\" class=\"definition\">\r\n \t<dt>expected count<\/dt>\r\n \t<dd id=\"fs-id1170572229195\">the number of the variable that we expect.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482608\" class=\"definition\">\r\n \t<dt>standardized residuals<\/dt>\r\n \t<dd id=\"fs-id1170572482614\">values that standardize the residuals so that if the null hypothesis is assumed to be true, they can be interpreted as normal z-scores; also sometimes called\u00a0<strong>Standardized Pearson Residuals<\/strong>.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482619\" class=\"definition\">\r\n \t<dt>chi-squared test of homogeneity<\/dt>\r\n \t<dd id=\"fs-id1170572482624\">a test that compares distributions of one categorical variable for multiple populations.<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>","rendered":"<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>On-Time Flights<\/strong><\/td>\n<td><strong>Delayed Flights<\/strong><\/td>\n<td><strong>Canceled Flights<\/strong><\/td>\n<td><strong>Diverted Flights<\/strong><\/td>\n<td><strong>Total<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td>12,716<\/td>\n<td>904<\/td>\n<td>23<\/td>\n<td>8<\/td>\n<td>13,651<\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td>2,240<\/td>\n<td>299<\/td>\n<td>22<\/td>\n<td>1<\/td>\n<td>2,562<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>On-Time Percentage Flights<\/strong><\/td>\n<td><strong>Delayed Percentage Flights<\/strong><\/td>\n<td><strong>Canceled Percentage Flights<\/strong><\/td>\n<td><strong>Diverted Percentage Flights<\/strong><\/td>\n<td><strong>Total<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td>93.15%<\/td>\n<td>6.62%<\/td>\n<td>0.17%<\/td>\n<td>0.06%<\/td>\n<td>100%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>On-Time Percentage Flights<\/strong><\/td>\n<td><strong>Delayed Percentage Flights<\/strong><\/td>\n<td><strong>Canceled Percentage Flights<\/strong><\/td>\n<td><strong>Diverted Percentage Flights<\/strong><\/td>\n<td><strong>Total<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>100%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>On-Time Percentage Flights<\/strong><\/td>\n<td><strong>Delayed Percentage Flights<\/strong><\/td>\n<td><strong>Canceled Percentage Flights<\/strong><\/td>\n<td><strong>Diverted Percentage Flights<\/strong><\/td>\n<td><strong>Total<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Overall<\/strong><\/td>\n<td>92.246962%<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>100%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Expected On-Time Flights<\/strong><\/td>\n<td><strong>Expected Delayed Flights<\/strong><\/td>\n<td><strong>Expected Canceled Flights<\/strong><\/td>\n<td><strong>Expected Diverted Flights<\/strong><\/td>\n<td><strong>Total Flights<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td>12,592.633<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>13,651<\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td>2,363.367<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>2,562<\/td>\n<\/tr>\n<tr>\n<td><strong>Total Flights<\/strong><\/td>\n<td>14,956<\/td>\n<td>1,203<\/td>\n<td>45<\/td>\n<td>9<\/td>\n<td>16,213<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>On-Time Flights<\/strong><\/td>\n<td><strong>Delayed Flights<\/strong><\/td>\n<td><strong>Canceled Flights<\/strong><\/td>\n<td><strong>Diverted Flights<\/strong><\/td>\n<td><strong>Total<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>American Airlines<\/strong><\/td>\n<td>42,600<\/td>\n<td>4,657<\/td>\n<td>296<\/td>\n<td>95<\/td>\n<td>47,648<\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td>51,620<\/td>\n<td>4,030<\/td>\n<td>150<\/td>\n<td>56<\/td>\n<td>55,856<\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td>69,384<\/td>\n<td>9,280<\/td>\n<td>1,782<\/td>\n<td>128<\/td>\n<td>80,574<\/td>\n<\/tr>\n<tr>\n<td><strong>Total <\/strong><\/td>\n<td>163,604<\/td>\n<td>17,967<\/td>\n<td>2,228<\/td>\n<td>279<\/td>\n<td>184,078<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Standardized Residual for On-time Flights<\/strong><\/td>\n<td><strong>Standardized Residual for Delayed Flights<\/strong><\/td>\n<td><strong>Standardized Residual for Canceled Flights<\/strong><\/td>\n<td><strong>Standardized Residual for Diverted Flights<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td>31.9<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Standardized Residual for On-time Flights<\/strong><\/td>\n<td><strong>Standardized Residual for Delayed Flights<\/strong><\/td>\n<td><strong>Standardized Residual for Canceled Flights<\/strong><\/td>\n<td><strong>Standardized Residual for Diverted Flights<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td>33.3<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>On-Time Flights<\/strong><\/td>\n<td><strong>Delayed Flights<\/strong><\/td>\n<td><strong>Canceled Flights<\/strong><\/td>\n<td><strong>Diverted Flights<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>American Airlines<\/strong><\/td>\n<td>378<\/td>\n<td>48<\/td>\n<td>1<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td>12,716<\/td>\n<td>904<\/td>\n<td>23<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td>2,240<\/td>\n<td>299<\/td>\n<td>22<\/td>\n<td>1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Good<\/strong><\/td>\n<td><strong>Fair<\/strong><\/td>\n<td><strong>Poor<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>New Jersey<\/strong><\/td>\n<td>26<\/td>\n<td>87<\/td>\n<td>7<\/td>\n<\/tr>\n<tr>\n<td><strong>New York<\/strong><\/td>\n<td>71<\/td>\n<td>136<\/td>\n<td>13<\/td>\n<\/tr>\n<tr>\n<td><strong>Pennsylvania<\/strong><\/td>\n<td>57<\/td>\n<td>158<\/td>\n<td>15<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Good<\/strong><\/td>\n<td><strong>Fair<\/strong><\/td>\n<td><strong>Poor<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Arkansas<\/strong><\/td>\n<td>92<\/td>\n<td>93<\/td>\n<td>5<\/td>\n<\/tr>\n<tr>\n<td><strong>Missouri<\/strong><\/td>\n<td>78<\/td>\n<td>134<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td><strong>Oklahoma<\/strong><\/td>\n<td>110<\/td>\n<td>87<\/td>\n<td>5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>On-Time Flights<\/strong><\/td>\n<td><strong>Delayed Flights<\/strong><\/td>\n<td><strong>Canceled Flights<\/strong><\/td>\n<td><strong>Diverted Flights<\/strong><\/td>\n<td><strong>Total<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>American Airlines<\/strong><\/td>\n<td>42,600<\/td>\n<td>4,657<\/td>\n<td>296<\/td>\n<td>95<\/td>\n<td>47,648<\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td>51,620<\/td>\n<td>4,030<\/td>\n<td>150<\/td>\n<td>56<\/td>\n<td>55,856<\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td>69,384<\/td>\n<td>9,280<\/td>\n<td>1,782<\/td>\n<td>128<\/td>\n<td>80,574<\/td>\n<\/tr>\n<tr>\n<td><strong>Total <\/strong><\/td>\n<td>163,604<\/td>\n<td>17,967<\/td>\n<td>2,228<\/td>\n<td>279<\/td>\n<td>184,078<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Percentage On-Time Flights<\/strong><\/td>\n<td><strong>Percentage Delayed Flights<\/strong><\/td>\n<td><strong>Percentage Canceled Flights<\/strong><\/td>\n<td><strong>Percentage Diverted Flights<\/strong><\/td>\n<td><strong>Total<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>American Airlines<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Percentage On-Time Flights<\/strong><\/td>\n<td><strong>Percentage Delayed Flights<\/strong><\/td>\n<td><strong>Percentage Canceled Flights<\/strong><\/td>\n<td><strong>Percentage Diverted Flights<\/strong><\/td>\n<td><strong>Total<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>American Airlines<\/strong><\/td>\n<td>89.4%<\/td>\n<td>9.8%<\/td>\n<td>0.6%<\/td>\n<td>0.2%<\/td>\n<td>100%<\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Overall <\/strong><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Expected Count of On-time Flights<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>American Airlines<\/strong><\/td>\n<td>42,348.4<\/td>\n<\/tr>\n<tr>\n<td><strong>Delta Airlines<\/strong><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Southwest Airlines<\/strong><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Total <\/strong><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><strong>Expected On-Time Flights<\/strong><\/td>\n<td><strong>Expected Delayed Flights<\/strong><\/td>\n<td><strong>Expected Canceled Flights<\/strong><\/td>\n<td><strong>Expected Diverted Flights<\/strong><\/td>\n<td><strong>Total Flights<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>American Airlines<\/strong><\/td>\n<td>42,348.4<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>47,648<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"text-align: left; margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Skill or Concept: I can . . .<\/td>\n<td>Questions to check your understanding<\/td>\n<td>Rating<br \/>\nfrom 1 to 5<\/td>\n<\/tr>\n<tr>\n<td>Understand the purpose of a chi-square test of homogeneity.<\/td>\n<td>1, 2<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Identify the null and alternative hypotheses for a chi-square test of homogeneity.<\/td>\n<td>3<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Determine the expected count for each cell of a two-way table for a chi-square test of homogeneity.<\/td>\n<td>4, 5<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<dl><\/dl>\n<dl id=\"fs-id1170572229168\" class=\"definition\">\n<dt>two-way table<\/dt>\n<dd id=\"fs-id1170572229174\">a table giving the counts for each value of the distributions of a categorical variable for multiple populations, also called a\u00a0<strong>contingency table<\/strong>.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572229190\" class=\"definition\">\n<dt>expected count<\/dt>\n<dd id=\"fs-id1170572229195\">the number of the variable that we expect.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482608\" class=\"definition\">\n<dt>standardized residuals<\/dt>\n<dd id=\"fs-id1170572482614\">values that standardize the residuals so that if the null hypothesis is assumed to be true, they can be interpreted as normal z-scores; also sometimes called\u00a0<strong>Standardized Pearson Residuals<\/strong>.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482619\" class=\"definition\">\n<dt>chi-squared test of homogeneity<\/dt>\n<dd id=\"fs-id1170572482624\">a test that compares distributions of one categorical variable for multiple populations.<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":52,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2072","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2072","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2072\/revisions"}],"predecessor-version":[{"id":2991,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2072\/revisions\/2991"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2072\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=2072"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=2072"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=2072"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=2072"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}