{"id":4930,"date":"2022-08-16T22:00:44","date_gmt":"2022-08-16T22:00:44","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=4930"},"modified":"2022-08-17T18:35:01","modified_gmt":"2022-08-17T18:35:01","slug":"13b-preview","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/13b-preview\/","title":{"raw":"13B Preview","rendered":"13B Preview"},"content":{"raw":"Preparing for the next class\r\n\r\nIn the next class, you will need to know all the steps needed to complete a hypothesis\u00a0 test for a population mean, which are similar to the steps for a hypothesis test for a population proportion.\r\n\r\nQuestions 1\u20138: Researchers want to examine the effect of diet on cholesterol level.\u00a0 They select a random sample of 125 adult males who are vegetarians and test their\u00a0 cholesterol levels to determine if they are significantly different from 201.5 milligrams of\u00a0 cholesterol per deciliter (mg\/dl), which is the average cholesterol level of all adult males\u00a0 without heart disease. The results are shown in the following table:\r\n
\r\n\r\n\r\n\r\n\r\n
<\/td>\r\nSize<\/td>\r\nMean<\/td>\r\nStandard Deviation<\/td>\r\n<\/tr>\r\n
Sample<\/td>\r\n125<\/td>\r\n183.4 mg\/dl<\/td>\r\n15<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
\r\n

Question 1<\/h3>\r\n1) How would you write the null hypothesis?\r\n\r\na) [latex]H_{0}:\\mu>201.5[\/latex]\r\n\r\nb)\u00a0[latex]H_{0}:\\mu<201.5[\/latex]\r\n\r\nc)\u00a0[latex]H_{0}:\\mu=201.5[\/latex]\r\n\r\nd) [latex]H_{0}:\\mu\\neq201.5[\/latex]\r\n\r\n<\/div>\r\n
\r\n

Question 2<\/h3>\r\n2) How would you write the alternative hypothesis?\r\n\r\na) [latex]H_{A}:\\mu>201.5[\/latex]\r\n\r\nb)\u00a0[latex]H_{A}:\\mu<201.5[\/latex]\r\n\r\nc)\u00a0[latex]H_{A}:\\mu=201.5[\/latex]\r\n\r\nd) [latex]H_{A}:\\mu\\neq201.5[\/latex]\r\n\r\n<\/div>\r\n
\r\n

Question 3<\/h3>\r\n3) In this scenario, is the alternative hypothesis one-tailed or two-tailed?\r\n\r\na) One-tailed\r\n\r\nb) Two-tailed\r\n\r\n<\/div>\r\n
\r\n

Question 4<\/h3>\r\n4) What data will be used for the hypothesis test?\r\n\r\na) Data about all U.S. men\r\n\r\nb) No data are needed.\r\n\r\nc) Sample data about cholesterol levels for a random sample of 125 men\r\n\r\n<\/div>\r\n
\r\n

Question 5<\/h3>\r\n5) What conditions were met for this statistical test?\r\n\r\na) The sample size is large enough.\r\n\r\nb) The sample is random from the population of interest.\r\n\r\nc) Both a and c\r\n\r\n<\/div>\r\n
\r\n

Question 6<\/h3>\r\n6) After writing the null and alternative hypotheses, collecting sample data, and checking test assumptions, what is the next step in hypothesis testing?\r\n\r\na) Calculate a P-value.\r\n\r\nb) Interpret the results of the test in context.\r\n\r\nc) Calculate the value of a test statistic.\r\n\r\n<\/div>\r\n
\r\n

Question 7<\/h3>\r\n7) After calculating a test statistic, what is the next step in hypothesis testing?\r\n\r\na) Calculate a P-value.\r\n\r\nb) Interpret the results of the test in context.\r\n\r\nc) Calculate the value of a test statistic.\r\n\r\n<\/div>\r\n
\r\n

Question 8<\/h3>\r\n8) What is the final step in hypothesis testing?\r\n\r\na) Calculate a P-value.\r\n\r\nb) Interpret the results of the test in context.\r\n\r\nc) Calculate the value of a test statistic.\r\n\r\n<\/div>","rendered":"

Preparing for the next class<\/p>\n

In the next class, you will need to know all the steps needed to complete a hypothesis\u00a0 test for a population mean, which are similar to the steps for a hypothesis test for a population proportion.<\/p>\n

Questions 1\u20138: Researchers want to examine the effect of diet on cholesterol level.\u00a0 They select a random sample of 125 adult males who are vegetarians and test their\u00a0 cholesterol levels to determine if they are significantly different from 201.5 milligrams of\u00a0 cholesterol per deciliter (mg\/dl), which is the average cholesterol level of all adult males\u00a0 without heart disease. The results are shown in the following table:<\/p>\n

\n\n\n\n\n
<\/td>\nSize<\/td>\nMean<\/td>\nStandard Deviation<\/td>\n<\/tr>\n
Sample<\/td>\n125<\/td>\n183.4 mg\/dl<\/td>\n15<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
\n

Question 1<\/h3>\n

1) How would you write the null hypothesis?<\/p>\n

a) [latex]H_{0}:\\mu>201.5[\/latex]<\/p>\n

b)\u00a0[latex]H_{0}:\\mu<201.5[\/latex]\n\nc)\u00a0[latex]H_{0}:\\mu=201.5[\/latex]\n\nd) [latex]H_{0}:\\mu\\neq201.5[\/latex]\n\n<\/div>\n

\n

Question 2<\/h3>\n

2) How would you write the alternative hypothesis?<\/p>\n

a) [latex]H_{A}:\\mu>201.5[\/latex]<\/p>\n

b)\u00a0[latex]H_{A}:\\mu<201.5[\/latex]\n\nc)\u00a0[latex]H_{A}:\\mu=201.5[\/latex]\n\nd) [latex]H_{A}:\\mu\\neq201.5[\/latex]\n\n<\/div>\n

\n

Question 3<\/h3>\n

3) In this scenario, is the alternative hypothesis one-tailed or two-tailed?<\/p>\n

a) One-tailed<\/p>\n

b) Two-tailed<\/p>\n<\/div>\n

\n

Question 4<\/h3>\n

4) What data will be used for the hypothesis test?<\/p>\n

a) Data about all U.S. men<\/p>\n

b) No data are needed.<\/p>\n

c) Sample data about cholesterol levels for a random sample of 125 men<\/p>\n<\/div>\n

\n

Question 5<\/h3>\n

5) What conditions were met for this statistical test?<\/p>\n

a) The sample size is large enough.<\/p>\n

b) The sample is random from the population of interest.<\/p>\n

c) Both a and c<\/p>\n<\/div>\n

\n

Question 6<\/h3>\n

6) After writing the null and alternative hypotheses, collecting sample data, and checking test assumptions, what is the next step in hypothesis testing?<\/p>\n

a) Calculate a P-value.<\/p>\n

b) Interpret the results of the test in context.<\/p>\n

c) Calculate the value of a test statistic.<\/p>\n<\/div>\n

\n

Question 7<\/h3>\n

7) After calculating a test statistic, what is the next step in hypothesis testing?<\/p>\n

a) Calculate a P-value.<\/p>\n

b) Interpret the results of the test in context.<\/p>\n

c) Calculate the value of a test statistic.<\/p>\n<\/div>\n

\n

Question 8<\/h3>\n

8) What is the final step in hypothesis testing?<\/p>\n

a) Calculate a P-value.<\/p>\n

b) Interpret the results of the test in context.<\/p>\n

c) Calculate the value of a test statistic.<\/p>\n<\/div>\n","protected":false},"author":23592,"menu_order":6,"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-4930","chapter","type-chapter","status-publish","hentry"],"part":4875,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4930","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\/4930\/revisions"}],"predecessor-version":[{"id":5032,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4930\/revisions\/5032"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/4875"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/4930\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=4930"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=4930"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=4930"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=4930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}