Question

Suppose that in a random selection of 100 colored candies, 25 % of them are blue....

Suppose that in a random selection of 100 colored candies, 25 % of them are blue. The candy company claims that the percentage of blue candies is equal to 29 %. Use a 0.10 significance level to test that claim.

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A. H0 : p = 0.29 H1 : p < 0.29

B. H0 : p = 0.29 H1 : p > 0.29

C. H0 : p = 0.29 H1 : p ≠ 0.29

D. H0 : p ≠ 0.29 H1 : p = 0.29

Identify the test statistic for this hypothesis test.

(Round to two decimal places as needed.)

Identify the P-value for this hypothesis test.

(Round to three decimal places as needed.)

Identify the conclusion for this hypothesis test.

A. Reject 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. 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 %

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

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