{"id":2253,"date":"2021-10-08T16:36:52","date_gmt":"2021-10-08T16:36:52","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2253"},"modified":"2022-03-18T02:51:49","modified_gmt":"2022-03-18T02:51:49","slug":"introduction-to-null-and-alternative-hypotheses","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-null-and-alternative-hypotheses\/","title":{"raw":"Introduction to Null and Alternative Hypotheses","rendered":"Introduction to Null and Alternative Hypotheses"},"content":{"raw":"<h2>What you\u2019ll learn to do: Determine the null and alternative hypotheses given a claim about a mean and a proportion<\/h2>\r\n<img class=\"size-medium wp-image-2254 alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/08163544\/pexels-koji-kamei-4766707-240x300.jpg\" alt=\"A manatee swimming in the water\" width=\"240\" height=\"300\" \/>Manatees move slowly and are often injured by boats. If the proportion of manatees who are injured is more than 50%, then laws might be enacted to reduce the risk of injury by boats. Hypothesis testing is used to analyze data to see if it supports a specific claim. In this case, our claim would be that p &gt; 0.50, where p is the true proportion of injured manatees. In this section, you will learn how to write null and alternative hypotheses based on various claims.","rendered":"<h2>What you\u2019ll learn to do: Determine the null and alternative hypotheses given a claim about a mean and a proportion<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-2254 alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/08163544\/pexels-koji-kamei-4766707-240x300.jpg\" alt=\"A manatee swimming in the water\" width=\"240\" height=\"300\" \/>Manatees move slowly and are often injured by boats. If the proportion of manatees who are injured is more than 50%, then laws might be enacted to reduce the risk of injury by boats. Hypothesis testing is used to analyze data to see if it supports a specific claim. In this case, our claim would be that p &gt; 0.50, where p is the true proportion of injured manatees. In this section, you will learn how to write null and alternative hypotheses based on various claims.<\/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-2253\">\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>Gray and White Sea Creature. <strong>Authored by<\/strong>: Koji Kamei. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/gray-and-white-sea-creature-4766707\/\">https:\/\/www.pexels.com\/photo\/gray-and-white-sea-creature-4766707\/<\/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":6,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Gray and White Sea Creature\",\"author\":\"Koji Kamei\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/gray-and-white-sea-creature-4766707\/\",\"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-2253","chapter","type-chapter","status-publish","hentry"],"part":276,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2253","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":4,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2253\/revisions"}],"predecessor-version":[{"id":3825,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2253\/revisions\/3825"}],"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\/2253\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2253"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2253"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2253"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2253"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}