Question

Suppose that in a random selection of 100 colored​ candies, 30​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%. Use a 0.05 significance level to test that claim.

a) Identify the test statistic for this hypothesis test.

b) Identify the​ P-value for this hypothesis test.

c) Identify the conclusion for this hypothesis test.

A. RejectReject H0. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29​%

B. Fail to reject H0 There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29​%

C. Reject H0.There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29​%

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 29​%

Answer 1

Given : Sample size=n=100

Estimate of the sample proportion=

Hypothesized value=

Significance level=

Now , Hypothesis : VS  

a) The test statistic is ,

b) The p-value is ,

p-value=

The Excel function is ,  =2*(1-NORMDIST(0.24,0,1,TRUE))

c) Decision : Here , p-value=0.8103 >

Therefore , fail to reject Ho.

Conclusion :

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 29​%