Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 27%. Use a 0.05 significance level to test that claim. OA H₂: p=0.21H₁: p=0.21OB H₂:p*0.21H₁: p=0.21OC. Ho: p=0.21H₁:p>0.21OD. H:p-0.21H₁: p<0.21Identify the test statistic for this hypothesis test.The test statistic for this hypothesis test is(Round to two decimal places as needed.)Identify the P-value for this hypothesis test.The P-value for this hypothesis test is(Round to three decimal places as needed.)Identify the conclusion for this hypothesis test.OA Fall to reject H₂. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candles is equal to 21%OB. Fail to reject H. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 21%OC. Reject H₂. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 21%OD. Reject H₂. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candles is equal to 21%

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Math

Statistics

company claims that the percentage test that claim

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 27%. Use a 0.05 significance level to test that claim.

OA H₂: p=0.21
H₁: p=0.21
OB H₂:p*0.21
H₁: p=0.21
OC. Ho: p=0.21
H₁:p>0.21
OD. H:p-0.21
H₁: p<0.21
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is
(Round to three decimal places as needed.)
Identify the conclusion for this hypothesis test.
OA Fall to reject H₂. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candles is equal to 21%
OB. Fail to reject H. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 21%
OC. Reject H₂. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 21%
OD. Reject H₂. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candles is equal to 21%

Expert Solution

Step 1

$G i v e n d a t a, n = 100 c o l o r e d c a r d i d e s s e l e c t i o n o f 100 c o l o u r e d 21 % o f t h e b l u e, p e r e c n t a g e o f b l u e c a n d i e s = 27 % α = 0.05 h e r e n = 100 c l a i m : - p = 0.21 \hat{p} = 0.27$

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