Grade D/F 25 The contingency table shows how a random sample of college freshmen graded the leaders of three types of institutions. At a = 0.05, can you conclude that the grades are related to the institution? Complete parts (a) through (d). Institution Military Religious Media / Press 37 50 21 19 43 29 14 11 22 33 24 (a) Identify the claim and state the null and alternative hypotheses. Ho: Grades are V the institution. Ha: Grades are V the institution. The is the claim. (b) Calculate the test statistic. If convenient, use technology. (Round to three decimal places as needed.) (c) 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. Click to select your answer(s) and then click Check Answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Please answer the following questions? Explain how you got those answers? I need to know how to do it for my test next week. Thanks!

Grade
The contingency table shows how a random sample of college freshmen graded the leaders of three
types of institutions. At a = 0.05, can you conclude that the grades are related to the institution?
Complete parts (a) through (d).
Institution
Military
Religious
Media / Press
A
B
C
D/F
37
50
21
25
19
43
29
14
11
22
33
24
(a) Identify the claim and state the null and alternative hypotheses.
Ho: Grades are
V the institution.
Ha: Grades are
V the institution.
The
is the claim.
(b) Calculate the test statistic. If convenient, use technology.
(Round to three decimal places as needed.)
(c) 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.
Click to select your answer(s) and then click Check Answer.
Transcribed Image Text:Grade The contingency table shows how a random sample of college freshmen graded the leaders of three types of institutions. At a = 0.05, can you conclude that the grades are related to the institution? Complete parts (a) through (d). Institution Military Religious Media / Press A B C D/F 37 50 21 25 19 43 29 14 11 22 33 24 (a) Identify the claim and state the null and alternative hypotheses. Ho: Grades are V the institution. Ha: Grades are V the institution. The is the claim. (b) Calculate the test statistic. If convenient, use technology. (Round to three decimal places as needed.) (c) 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. Click to select your answer(s) and then click Check Answer.
(c) 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.
O A. Reject the null hypothesis. There is not enough evidence to conclude that O B. Fail to reject the null hypothesis. There is not enough evidence to
grades are dependent on the institution.
conclude that grades are dependent on the institution.
OC. Reject the null hypothesis. There is enough evidence to conclude that
grades are dependent on the institution.
O D. Fail to reject the null hypothesis. There is enough evidence to conclude
that grades are dependent on the institution.
Transcribed Image Text:(c) 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. O A. Reject the null hypothesis. There is not enough evidence to conclude that O B. Fail to reject the null hypothesis. There is not enough evidence to grades are dependent on the institution. conclude that grades are dependent on the institution. OC. Reject the null hypothesis. There is enough evidence to conclude that grades are dependent on the institution. O D. Fail to reject the null hypothesis. There is enough evidence to conclude that grades are dependent on the institution.
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