{"id":2284,"date":"2021-10-08T17:19:49","date_gmt":"2021-10-08T17:19:49","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2284"},"modified":"2023-12-05T09:35:44","modified_gmt":"2023-12-05T09:35:44","slug":"summary-additional-information-and-full-hypothesis-test-examples","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/summary-additional-information-and-full-hypothesis-test-examples\/","title":{"raw":"Summary: Additional Information and Full Hypothesis Test Examples","rendered":"Summary: Additional Information and Full Hypothesis Test Examples"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">If the alternative hypothesis contains &gt; or &lt;, then the test is called a one-sided test.\u00a0 If the alternative hypothesis contains \u2260, then the test is called a two-sided test.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The basic steps to doing a hypothesis test are:\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"2\">Determine what procedure should be done.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"2\">State the null and alternative hypotheses.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"2\">Check that the conditions for doing the procedure have been met.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"2\">Calculate the test statistic and <em>p<\/em>-value.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"2\">Make a conclusion based on an [latex]\\alpha[\/latex] level.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"2\">State your conclusion in the context of the problem.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<strong>Hypothesis:\u00a0<\/strong>a statement about the value of a population parameter. In case of two hypotheses, the statement assumed to be true is called the null hypothesis (notation [latex]H_0[\/latex]) and the contradictory statement is called the alternative hypothesis (notation [latex]H_a[\/latex]).\r\n\r\n<strong>Hypothesis Testing: <\/strong>based on sample evidence, a procedure for determining whether the hypothesis stated is a reasonable statement and should not be rejected, or is unreasonable and should be rejected.\r\n\r\n<strong>Level of Significance of the Test:\u00a0<\/strong>probability of a Type I error (reject the null hypothesis when it is true). Notation: [latex]\\alpha[\/latex]. In hypothesis testing, the Level of Significance is called the preconceived [latex]\\alpha[\/latex] or the preset [latex]\\alpha[\/latex].\r\n\r\n<strong><em>p<\/em>-value:\u00a0<\/strong>the probability that an event will happen purely by chance assuming the null hypothesis is true. The smaller the <em>p<\/em>-value, the stronger the evidence is against the null hypothesis.","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">If the alternative hypothesis contains &gt; or &lt;, then the test is called a one-sided test.\u00a0 If the alternative hypothesis contains \u2260, then the test is called a two-sided test.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The basic steps to doing a hypothesis test are:\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\">Determine what procedure should be done.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\">State the null and alternative hypotheses.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\">Check that the conditions for doing the procedure have been met.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\">Calculate the test statistic and <em>p<\/em>-value.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\">Make a conclusion based on an [latex]\\alpha[\/latex] level.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\">State your conclusion in the context of the problem.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<p><strong>Hypothesis:\u00a0<\/strong>a statement about the value of a population parameter. In case of two hypotheses, the statement assumed to be true is called the null hypothesis (notation [latex]H_0[\/latex]) and the contradictory statement is called the alternative hypothesis (notation [latex]H_a[\/latex]).<\/p>\n<p><strong>Hypothesis Testing: <\/strong>based on sample evidence, a procedure for determining whether the hypothesis stated is a reasonable statement and should not be rejected, or is unreasonable and should be rejected.<\/p>\n<p><strong>Level of Significance of the Test:\u00a0<\/strong>probability of a Type I error (reject the null hypothesis when it is true). Notation: [latex]\\alpha[\/latex]. In hypothesis testing, the Level of Significance is called the preconceived [latex]\\alpha[\/latex] or the preset [latex]\\alpha[\/latex].<\/p>\n<p><strong><em>p<\/em>-value:\u00a0<\/strong>the probability that an event will happen purely by chance assuming the null hypothesis is true. The smaller the <em>p<\/em>-value, the stronger the evidence is against the null hypothesis.<\/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-2284\">\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>Introductory Statistics. <strong>Authored by<\/strong>: Barbara Illowsky, Susan Dean. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/openstax.org\/books\/introductory-statistics\/pages\/9-key-terms\">https:\/\/openstax.org\/books\/introductory-statistics\/pages\/9-key-terms<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Access for free at https:\/\/openstax.org\/books\/introductory-statistics\/pages\/1-introduction<\/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":22,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Introductory Statistics\",\"author\":\"Barbara Illowsky, Susan Dean\",\"organization\":\"OpenStax\",\"url\":\"https:\/\/openstax.org\/books\/introductory-statistics\/pages\/9-key-terms\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/introductory-statistics\/pages\/1-introduction\"},{\"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-2284","chapter","type-chapter","status-publish","hentry"],"part":276,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2284","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":3,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2284\/revisions"}],"predecessor-version":[{"id":3856,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2284\/revisions\/3856"}],"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\/2284\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2284"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2284"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2284"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2284"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}