{"id":1902,"date":"2022-01-26T11:48:24","date_gmt":"2022-01-26T11:48:24","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=1902"},"modified":"2022-01-28T07:58:48","modified_gmt":"2022-01-28T07:58:48","slug":"11g","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/11g\/","title":{"raw":"11G","rendered":"11G"},"content":{"raw":"<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Symbol<\/strong><\/td>\r\n<td><strong>Meaning<\/strong><\/td>\r\n<td><strong>Value<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>Number of people in Group 1 who thought to remove the destabilizing block<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>Size of Group 1<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>Proportion of people in Group 1 who thought to remove the destabilizing block<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>Number of people in Group 2 who thought to remove the destabilizing block<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>Size of Group 2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>Proportion of people in Group 2 who thought to remove the destabilizing block<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>Combined sample proportion from both groups<\/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><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\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>Lower bound<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Upper bound<\/td>\r\n<td><\/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>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>Set up null and alternative hypotheses for a two-sample test of proportions.<\/td>\r\n<td>1<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check that necessary conditions have been met for a two-sample test of proportions.<\/td>\r\n<td>2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Perform the two-sample hypothesis test of proportions.<\/td>\r\n<td>3<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Interpret the conclusions of the test.<\/td>\r\n<td>4<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Use technology to find a confidence interval for the difference between two proportions.<\/td>\r\n<td>5<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"alignnone wp-image-1903\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/26114728\/Picture215-300x10.png\" alt=\"A double-sided horizontal arrow\" width=\"960\" height=\"32\" \/> <img class=\"alignnone wp-image-1904\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/26114731\/Picture222-300x35.png\" alt=\"An double-sided horizontal arrow labeled 0 in the center, -0.1 at the left end, and 0.1 at the right end.\" width=\"943\" height=\"110\" \/> <img class=\"alignnone wp-image-1905\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/26114735\/Picture231-300x49.png\" alt=\"A number line labeled \u201cDifference of Proportions p sub one to p sub two\u201d and number in increments of 0.01 from 0.01 to 0.11. There is a point at approximately 0.05 labeled \u201cp sub one to p sub two\u201d with a range labeled as [0.02445, 0.07561]. There is text at the top reading \u201c95% Confidence Interval.\u201d\" width=\"918\" height=\"150\" \/> <img class=\"alignnone wp-image-1906\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/26114739\/Picture242-300x50.png\" alt=\"A number line labeled \u201cDifference of Proportions p sub one to p sub two\u201d and number in increments of 0.01 from -0.05 to 0.03. There is a point at approximately -0.07 labeled \u201cp sub one to p sub two\u201d with a range labeled as [-0.3441 0.02024]. There is text at the top reading \u201c95% Confidence Interval.\u201d\" width=\"942\" height=\"157\" \/>\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 25%;\"><\/td>\r\n<td style=\"width: 25%;\">Commonly-White Names<\/td>\r\n<td style=\"width: 25%;\">Commonly-Black Names<\/td>\r\n<td style=\"width: 25%;\">Total<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 25%;\">Called back<\/td>\r\n<td style=\"width: 25%;\">246<\/td>\r\n<td style=\"width: 25%;\">164<\/td>\r\n<td style=\"width: 25%;\">410<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 25%;\">Not called back<\/td>\r\n<td style=\"width: 25%;\">2199<\/td>\r\n<td style=\"width: 25%;\">2281<\/td>\r\n<td style=\"width: 25%;\">4480<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 25%;\">Total<\/td>\r\n<td style=\"width: 25%;\">2445<\/td>\r\n<td style=\"width: 25%;\">2445<\/td>\r\n<td style=\"width: 25%;\">4890<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>","rendered":"<table>\n<tbody>\n<tr>\n<td><strong>Symbol<\/strong><\/td>\n<td><strong>Meaning<\/strong><\/td>\n<td><strong>Value<\/strong><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Number of people in Group 1 who thought to remove the destabilizing block<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Size of Group 1<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Proportion of people in Group 1 who thought to remove the destabilizing block<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Number of people in Group 2 who thought to remove the destabilizing block<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Size of Group 2<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Proportion of people in Group 2 who thought to remove the destabilizing block<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Combined sample proportion from both groups<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>Lower bound<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Upper bound<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"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>Set up null and alternative hypotheses for a two-sample test of proportions.<\/td>\n<td>1<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Check that necessary conditions have been met for a two-sample test of proportions.<\/td>\n<td>2<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Perform the two-sample hypothesis test of proportions.<\/td>\n<td>3<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Interpret the conclusions of the test.<\/td>\n<td>4<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Use technology to find a confidence interval for the difference between two proportions.<\/td>\n<td>5<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1903\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/26114728\/Picture215-300x10.png\" alt=\"A double-sided horizontal arrow\" width=\"960\" height=\"32\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1904\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/26114731\/Picture222-300x35.png\" alt=\"An double-sided horizontal arrow labeled 0 in the center, -0.1 at the left end, and 0.1 at the right end.\" width=\"943\" height=\"110\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1905\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/26114735\/Picture231-300x49.png\" alt=\"A number line labeled \u201cDifference of Proportions p sub one to p sub two\u201d and number in increments of 0.01 from 0.01 to 0.11. There is a point at approximately 0.05 labeled \u201cp sub one to p sub two\u201d with a range labeled as [0.02445, 0.07561]. There is text at the top reading \u201c95% Confidence Interval.\u201d\" width=\"918\" height=\"150\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1906\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/26114739\/Picture242-300x50.png\" alt=\"A number line labeled \u201cDifference of Proportions p sub one to p sub two\u201d and number in increments of 0.01 from -0.05 to 0.03. There is a point at approximately -0.07 labeled \u201cp sub one to p sub two\u201d with a range labeled as [-0.3441 0.02024]. There is text at the top reading \u201c95% Confidence Interval.\u201d\" width=\"942\" height=\"157\" \/><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 25%;\"><\/td>\n<td style=\"width: 25%;\">Commonly-White Names<\/td>\n<td style=\"width: 25%;\">Commonly-Black Names<\/td>\n<td style=\"width: 25%;\">Total<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25%;\">Called back<\/td>\n<td style=\"width: 25%;\">246<\/td>\n<td style=\"width: 25%;\">164<\/td>\n<td style=\"width: 25%;\">410<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25%;\">Not called back<\/td>\n<td style=\"width: 25%;\">2199<\/td>\n<td style=\"width: 25%;\">2281<\/td>\n<td style=\"width: 25%;\">4480<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25%;\">Total<\/td>\n<td style=\"width: 25%;\">2445<\/td>\n<td style=\"width: 25%;\">2445<\/td>\n<td style=\"width: 25%;\">4890<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n","protected":false},"author":23592,"menu_order":41,"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-1902","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1902","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":4,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1902\/revisions"}],"predecessor-version":[{"id":2263,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1902\/revisions\/2263"}],"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\/1902\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=1902"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=1902"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=1902"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=1902"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}