Suppose that in a random selection of 100 colored​ candies, 23​% of them are blue. The candy company claims that the percentage of blue candies is equal to 28​%. Use a 0.10 significance level to test that claim.

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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Suppose that in a random selection of 100 colored​ candies, 23​% of them are blue. The candy company claims that the percentage of blue candies is equal to 28​%. Use a 0.10 significance level to test that claim.
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
 
A.H0​:p=0.28 H1​:p>0.28
 
B. H0​:p≠0.28H1​:p=0.28
 
C. H0​:p=0.28H1​:p<0.28
 
D.H0​:p=0.28H1​:p≠0.28
 
-Identify the test statistic for this hypothesis test.
 
-Identify the​ P-value for this hypothesis test.
 
-Identify the conclusion for this hypothesis test.
 
 
A. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28​%
 
B. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28​%
 
C. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28​%
 
D. Reject H0. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28​%
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