Consider the hypothesis test given by H0 p 05 and H1 p 05

Consider the hypothesis test given by : H0: p = 0.5 and H1: p < 0.5

In a random sample of 100 subjects, the sample proportion is found to be pˆ = 0.45 .

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

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

(c) Is there sufficient evidence to justify the rejection of H0 at the a = 0.01 level? Explain.

Solution