Suppose that in a random selection of
100
colored candies,
23%
of them are blue. The candy company claims that the percentageof blue candies is equal to
28%.
Use a
0.05
significance level to test that claim.
Question content area bottom
Part 1
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
Part 2
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
enter your response here.
(Round to two decimal places as needed.)
Part 3
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is
enter your response here.
(Round to three decimal places as needed.)
Part 4
Identify the conclusion for this hypothesis test.
A.
Reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that thepercentage of blue candies is equal to
28%
B.
Fail to reject
H0.
There
is
sufficient evidence to warrant rejection of the claim that thepercentage of blue candies is equal to
28%
C.
Fail to reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that thepercentage of blue candies is equal to
28%
D.
Reject
H0.
There
is
sufficient evidence to warrant rejection of the claim that thepercentage of blue candies is equal to
28%
Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the per
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