{"id":2260,"date":"2021-10-08T16:53:02","date_gmt":"2021-10-08T16:53:02","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2260"},"modified":"2022-03-18T03:38:24","modified_gmt":"2022-03-18T03:38:24","slug":"introduction-to-outcomes-and-the-type-i-and-type-ii-errors","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-outcomes-and-the-type-i-and-type-ii-errors\/","title":{"raw":"Introduction to Outcomes and the Type I and Type II Errors","rendered":"Introduction to Outcomes and the Type I and Type II Errors"},"content":{"raw":"<h2>What you\u2019ll learn to do: Describe Type I and Type II errors and explain their consequences<\/h2>\r\n<img class=\"alignright wp-image-2261 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/08164437\/pexels-alleksana-4271933-300x200.jpg\" alt=\"A cut out of letters that spell the word ERROR\" width=\"300\" height=\"200\" \/>If the null hypothesis is true, the sample should lead us to that conclusion. If the null hypothesis is false, the sample should lead us to that conclusion, too. However, sometimes the data might not lead to the correct conclusion. For example, we happen to randomly choose many people who are above the true mean height in a sample of 50 adults and this leads us to conclude that the mean height of U.S. adults is now higher than it was twenty years ago. If the mean height has not in fact changed, this would be considered an error.","rendered":"<h2>What you\u2019ll learn to do: Describe Type I and Type II errors and explain their consequences<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-2261 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/08164437\/pexels-alleksana-4271933-300x200.jpg\" alt=\"A cut out of letters that spell the word ERROR\" width=\"300\" height=\"200\" \/>If the null hypothesis is true, the sample should lead us to that conclusion. If the null hypothesis is false, the sample should lead us to that conclusion, too. However, sometimes the data might not lead to the correct conclusion. For example, we happen to randomly choose many people who are above the true mean height in a sample of 50 adults and this leads us to conclude that the mean height of U.S. adults is now higher than it was twenty years ago. If the mean height has not in fact changed, this would be considered an error.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-2260\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>White Printer Paper on White Textile. <strong>Authored by<\/strong>: alleksana. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/wood-dirty-writing-abstract-4271933\/\">https:\/\/www.pexels.com\/photo\/wood-dirty-writing-abstract-4271933\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":9,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"White Printer Paper on White Textile\",\"author\":\"alleksana\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/wood-dirty-writing-abstract-4271933\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2260","chapter","type-chapter","status-publish","hentry"],"part":276,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2260","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2260\/revisions"}],"predecessor-version":[{"id":3830,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2260\/revisions\/3830"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/276"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2260\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2260"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2260"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2260"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2260"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}