15C

On-Time Flights Delayed Flights Canceled Flights Diverted Flights Total
Delta Airlines 12,716 904 23 8 13,651
Southwest Airlines 2,240 299 22 1 2,562
On-Time Percentage Flights Delayed Percentage Flights Canceled Percentage Flights Diverted Percentage Flights Total
Delta Airlines 93.15% 6.62% 0.17% 0.06% 100%
On-Time Percentage Flights Delayed Percentage Flights Canceled Percentage Flights Diverted Percentage Flights Total
Southwest Airlines 100%
On-Time Percentage Flights Delayed Percentage Flights Canceled Percentage Flights Diverted Percentage Flights Total
Overall 92.246962% 100%
Expected On-Time Flights Expected Delayed Flights Expected Canceled Flights Expected Diverted Flights Total Flights
Delta Airlines 12,592.633 13,651
Southwest Airlines 2,363.367 2,562
Total Flights 14,956 1,203 45 9 16,213
On-Time Flights Delayed Flights Canceled Flights Diverted Flights Total
American Airlines 42,600 4,657 296 95 47,648
Delta Airlines 51,620 4,030 150 56 55,856
Southwest Airlines 69,384 9,280 1,782 128 80,574
Total 163,604 17,967 2,228 279 184,078
Standardized Residual for On-time Flights Standardized Residual for Delayed Flights Standardized Residual for Canceled Flights Standardized Residual for Diverted Flights
Delta Airlines 31.9
Standardized Residual for On-time Flights Standardized Residual for Delayed Flights Standardized Residual for Canceled Flights Standardized Residual for Diverted Flights
Southwest Airlines 33.3
On-Time Flights Delayed Flights Canceled Flights Diverted Flights
American Airlines 378 48 1 0
Delta Airlines 12,716 904 23 8
Southwest Airlines 2,240 299 22 1
Good Fair Poor
New Jersey 26 87 7
New York 71 136 13
Pennsylvania 57 158 15
Good Fair Poor
Arkansas 92 93 5
Missouri 78 134 8
Oklahoma 110 87 5
On-Time Flights Delayed Flights Canceled Flights Diverted Flights Total
American Airlines 42,600 4,657 296 95 47,648
Delta Airlines 51,620 4,030 150 56 55,856
Southwest Airlines 69,384 9,280 1,782 128 80,574
Total 163,604 17,967 2,228 279 184,078
Percentage On-Time Flights Percentage Delayed Flights Percentage Canceled Flights Percentage Diverted Flights Total
American Airlines
Percentage On-Time Flights Percentage Delayed Flights Percentage Canceled Flights Percentage Diverted Flights Total
American Airlines 89.4% 9.8% 0.6% 0.2% 100%
Delta Airlines
Southwest Airlines
Overall
Expected Count of On-time Flights
American Airlines 42,348.4
Delta Airlines
Southwest Airlines
Total
Expected On-Time Flights Expected Delayed Flights Expected Canceled Flights Expected Diverted Flights Total Flights
American Airlines 42,348.4 47,648
Skill or Concept: I can . . . Questions to check your understanding Rating
from 1 to 5
Understand the purpose of a chi-square test of homogeneity. 1, 2
Identify the null and alternative hypotheses for a chi-square test of homogeneity. 3
Determine the expected count for each cell of a two-way table for a chi-square test of homogeneity. 4, 5
two-way table
a table giving the counts for each value of the distributions of a categorical variable for multiple populations, also called a contingency table.
expected count
the number of the variable that we expect.
standardized residuals
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 Standardized Pearson Residuals.
chi-squared test of homogeneity
a test that compares distributions of one categorical variable for multiple populations.