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 26​%. Use a 0.01 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≠0.26 H1​: p=0.26   B. H0​: p=0.26 H1​: p≠0.26   C. H0​: p=0.26 H1​: p<0.26   D. H0​: p=0.26 H1​: p>0.26 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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
26​%.
Use a
0.01
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≠0.26
H1​:
p=0.26
 
B.
H0​:
p=0.26
H1​:
p≠0.26
 
C.
H0​:
p=0.26
H1​:
p<0.26
 
D.
H0​:
p=0.26
H1​:
p>0.26
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.

 

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