Grade A Military 22 Religious 16 Media/Press 19 B22 40 42 24 0229 C D/F 18 23 27 17 40 27 The contingency table shows how a random sample of college freshmen graded the leaders of three types of institutions. At = 0.01, can you conclude that the grades are related to the institution? Complete parts (a) through (d). Institution (a) Identify the claim and state the null and alternative hypotheses. Ho: Grades are independent of the institution. H₂: Grades are dependent on the institution. The alternative hypothesis 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. = 6 Find the critical value. x=16.812 (Round to three decimal places as needed.) Choose the correct rejection region below. OA. < B. > OC. sto D. 20 (c) Calculate the test statistic. If convenient, use technology. 7 = ☐ (Round to two decimal places as needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Grade
A
Military
22
Religious
16
Media/Press 19
B22
40
42
24
0229
C
D/F
18
23
27
17
40
27
The contingency table shows how a random sample of college freshmen graded the
leaders of three types of institutions. At = 0.01, can you conclude that the grades
are related to the institution? Complete parts (a) through (d).
Institution
(a) Identify the claim and state the null and alternative hypotheses.
Ho: Grades are independent of the institution.
H₂: Grades are dependent on the institution.
The alternative hypothesis 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. = 6
Find the critical value.
x=16.812
(Round to three decimal places as needed.)
Choose the correct rejection region below.
OA. <
B. >
OC. sto
D. 20
(c) Calculate the test statistic. If convenient, use technology.
7 = ☐
(Round to two decimal places as needed.)
Transcribed Image Text:Grade A Military 22 Religious 16 Media/Press 19 B22 40 42 24 0229 C D/F 18 23 27 17 40 27 The contingency table shows how a random sample of college freshmen graded the leaders of three types of institutions. At = 0.01, can you conclude that the grades are related to the institution? Complete parts (a) through (d). Institution (a) Identify the claim and state the null and alternative hypotheses. Ho: Grades are independent of the institution. H₂: Grades are dependent on the institution. The alternative hypothesis 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. = 6 Find the critical value. x=16.812 (Round to three decimal places as needed.) Choose the correct rejection region below. OA. < B. > OC. sto D. 20 (c) Calculate the test statistic. If convenient, use technology. 7 = ☐ (Round to two decimal places as needed.)
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