The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent.   H0​: College graduation status and cola preference are independent. H1​: College graduation status and cola preference are dependent.   If the test statistic is χ2=0.579 and the critical value is χ2=​5.991, what is your conclusion about the null hypothesis and about the​ claim?   A. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.   B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.   C. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.   D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent.
 
H0​:
College graduation status and cola preference are independent.
H1​:
College graduation status and cola preference are dependent.
 
If the test statistic is
χ2=0.579
and the critical value is
χ2=​5.991,
what is your conclusion about the null hypothesis and about the​ claim?
 
A.
Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
 
B.
Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
 
C.
Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
 
D.
Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that college graduation status and cola preference are independent.
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