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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
Related questions
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt