Mimi is interested in testing the claim that banana is the favorite fruit for more than 50% of the adults.She conducted a survey on a random sample of 100 adults. 58 adults in the sample chose banana as his / her favorite fruit.

Assume Mimi wants to use a 0.10 significance level to test the claim.

(a)Identify the null hypothesis and the alternative hypothesis.

(b)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c)Determine the P-value for this test.Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d)Is there sufficient evidence to support the claim that banana is the favorite fruit for more than 50% of the adults.? Explain