{"id":89,"date":"2021-01-12T22:19:45","date_gmt":"2021-01-12T22:19:45","guid":{"rendered":"https:\/\/textbooks.jaykesler.net\/introstats\/part\/testing-multiple-proportions\/"},"modified":"2023-04-19T19:55:34","modified_gmt":"2023-04-19T19:55:34","slug":"testing-multiple-proportions","status":"publish","type":"part","link":"https:\/\/textbooks.jaykesler.net\/introstats\/part\/testing-multiple-proportions\/","title":{"rendered":"Testing Multiple Proportions"},"content":{"raw":"\r\n[latexpage]\r\n<\/span>\r\n
\r\n
\r\n
\r\n\"This\r\n\r\n<\/span><\/figure>\r\n
Figure <\/span>11.1<\/span> The chi-square distribution can be used to find relationships between two things, like grocery prices at different stores. (credit: Pete\/flickr)<\/span><\/div>\r\n<\/div>\r\n
\r\n

Chapter Objectives<\/span><\/h3>\r\n<\/header>
\r\n
\r\n

By the end of this chapter, the student should be able to:<\/p>\r\n\r\n

    \r\n \t
  • Interpret the chi-square probability distribution as the sample size\r\nchanges.<\/li>\r\n \t
  • Conduct and interpret chi-square goodness-of-fit hypothesis tests.<\/li>\r\n \t
  • Conduct and interpret chi-square test of independence hypothesis\r\ntests.<\/li>\r\n \t
  • Conduct and interpret chi-square homogeneity hypothesis tests.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/section><\/div>\r\n

    Have you ever wondered if lottery numbers were evenly distributed or if some numbers occurred with a greater frequency? How about if the types of movies people preferred were different across different age groups? What about if a coffee machine was dispensing approximately the same amount of coffee each time? You could answer these questions by conducting a hypothesis test.<\/p>\r\n

    You will now study a new distribution, one that is used to determine the answers to such questions. This distribution is called the chi-square distribution.<\/p>\r\n

    In this chapter, you will learn the three major applications of the chi-square distribution:<\/p>\r\n\r\n

      \r\n \t
    1. the goodness-of-fit test, which determines if data fit a particular distribution, such as in the lottery example<\/li>\r\n \t
    2. the test of independence, which determines if events are independent, such as in the movie example<\/li>\r\n \t
    3. the test of a single variance, which tests variability, such as in the coffee example<\/li>\r\n<\/ol>\r\n<\/div>","rendered":"


      \n[latexpage]
      \n<\/span><\/p>\n

      \n
      \n

      \n\"This<\/p>\n

      <\/span><\/figure>\n

      Figure <\/span>11.1<\/span> The chi-square distribution can be used to find relationships between two things, like grocery prices at different stores. (credit: Pete\/flickr)<\/span><\/div>\n<\/div>\n
      \n
      \n

      Chapter Objectives<\/span><\/h3>\n<\/header>\n
      \n
      \n

      By the end of this chapter, the student should be able to:<\/p>\n

        \n
      • Interpret the chi-square probability distribution as the sample size
        \nchanges.<\/li>\n
      • Conduct and interpret chi-square goodness-of-fit hypothesis tests.<\/li>\n
      • Conduct and interpret chi-square test of independence hypothesis
        \ntests.<\/li>\n
      • Conduct and interpret chi-square homogeneity hypothesis tests.<\/li>\n<\/ul>\n<\/div>\n<\/section>\n<\/div>\n

        Have you ever wondered if lottery numbers were evenly distributed or if some numbers occurred with a greater frequency? How about if the types of movies people preferred were different across different age groups? What about if a coffee machine was dispensing approximately the same amount of coffee each time? You could answer these questions by conducting a hypothesis test.<\/p>\n

        You will now study a new distribution, one that is used to determine the answers to such questions. This distribution is called the chi-square distribution.<\/p>\n

        In this chapter, you will learn the three major applications of the chi-square distribution:<\/p>\n

          \n
        1. the goodness-of-fit test, which determines if data fit a particular distribution, such as in the lottery example<\/li>\n
        2. the test of independence, which determines if events are independent, such as in the movie example<\/li>\n
        3. the test of a single variance, which tests variability, such as in the coffee example<\/li>\n<\/ol>\n<\/div>\n","protected":false},"parent":0,"menu_order":10,"template":"","meta":{"pb_part_invisible":false},"contributor":[],"license":[],"class_list":["post-89","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/textbooks.jaykesler.net\/introstats\/wp-json\/pressbooks\/v2\/parts\/89","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/textbooks.jaykesler.net\/introstats\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/textbooks.jaykesler.net\/introstats\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":4,"href":"https:\/\/textbooks.jaykesler.net\/introstats\/wp-json\/pressbooks\/v2\/parts\/89\/revisions"}],"predecessor-version":[{"id":554,"href":"https:\/\/textbooks.jaykesler.net\/introstats\/wp-json\/pressbooks\/v2\/parts\/89\/revisions\/554"}],"wp:attachment":[{"href":"https:\/\/textbooks.jaykesler.net\/introstats\/wp-json\/wp\/v2\/media?parent=89"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/textbooks.jaykesler.net\/introstats\/wp-json\/wp\/v2\/contributor?post=89"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/textbooks.jaykesler.net\/introstats\/wp-json\/wp\/v2\/license?post=89"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}