Suppose that in a random selection of 100 colored​ candies, 22​% of them are blue. The candy company claims that the percentage of blue candies is equal to 28​%. Use a 0.01 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=0.28 H1​: p>0.28   C. H0​: p=0.28 H1​: p<0.28   D. H0​: p=0.28 H1​: p≠0.28 Identify the test statistic for this hypothesis test.   The test statistic for this hypothesis test is nothing. ​(Round to two decimal places as​ needed.) Identify the​ P-value for this hypothesis test.   The​ P-value for this hypothesis test is nothing. ​(Round to three decimal places as​ needed.) Identify the conclusion for this hypothesis test.     A. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28​%   B. Reject H0. There is 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 sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28​%   D. 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​%

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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Question
Suppose that in a random selection of
100
colored​ candies,
22​%
of them are blue. The candy company claims that the percentage of blue candies is equal to
28​%.
Use a
0.01
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=0.28
H1​:
p>0.28
 
C.
H0​:
p=0.28
H1​:
p<0.28
 
D.
H0​:
p=0.28
H1​:
p≠0.28
Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is
nothing.
​(Round to two decimal places as​ needed.)
Identify the​ P-value for this hypothesis test.
 
The​ P-value for this hypothesis test is
nothing.
​(Round to three decimal places as​ needed.)
Identify the conclusion for this hypothesis test.
 
 
A.
Reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to
28​%
 
B.
Reject
H0.
There
is
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
sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to
28​%
 
D.
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​%
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