Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Question
The contingency table shows how a random sample of college freshmen graded the leaders of three types of institutions. At <= 0.05, can you conclude that the grades are related to the institution? Complete parts (a) through (d). Grade Institution A B C D/F Military 32 40 19 17 Religious 16 44 22 Media/Press 16 23 34 28 18 23 (a) Identify the claim and state the null and alternative hypotheses. Ho: Grades are the institution. H₂: Grades are the institution. The is the claim. (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. What are the degrees of freedom? d.f. = Find the critical value. = (Round to three decimal places as needed.) Choose the correct rejection region below. OA OB. < OC. 2x OD. So (c) Calculate the test statistic. If convenient, use technology. x = ☐ (Round to two decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. Choose the correct conclusion below. OA. Fail to reject the null hypothesis. There is not enough evidence to conclude that grades are dependent on the institution. OC. Reject the null hypothesis. There is not enough evidence to conclude that grades are dependent on the institution. OB. Fail to reject the null hypothesis. There is enough evidence to conclude that grades are dependent on the institution. OD. Reject the null hypothesis. There is enough evidence to conclude that grades are dependent on the institution.
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Transcribed Image Text:The contingency table shows how a random sample of college freshmen graded the leaders of three types of institutions. At <= 0.05, can you conclude that the grades are related to the institution? Complete parts (a) through (d). Grade Institution A B C D/F Military 32 40 19 17 Religious 16 44 22 Media/Press 16 23 34 28 18 23 (a) Identify the claim and state the null and alternative hypotheses. Ho: Grades are the institution. H₂: Grades are the institution. The is the claim. (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. What are the degrees of freedom? d.f. = Find the critical value. = (Round to three decimal places as needed.) Choose the correct rejection region below. OA OB. < OC. 2x OD. So (c) Calculate the test statistic. If convenient, use technology. x = ☐ (Round to two decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. Choose the correct conclusion below. OA. Fail to reject the null hypothesis. There is not enough evidence to conclude that grades are dependent on the institution. OC. Reject the null hypothesis. There is not enough evidence to conclude that grades are dependent on the institution. OB. Fail to reject the null hypothesis. There is enough evidence to conclude that grades are dependent on the institution. OD. Reject the null hypothesis. There is enough evidence to conclude that grades are dependent on the institution.
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