Consider the hypothesis test given byHo: p=0.5H1: p less than 0.5In a random sample of 100 subjects, the sample proportion is found to be p = 45 .0ˆ(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 Ho at the a =0.01 level? Explain. (15 pts)

Consider the hypothesis test given byHo: p=0.5H1: p less than 0.5In a random sample of 100 subjects, the sample proportion is found to be p = 45 .0ˆ(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 Ho at the a =0.01 level? Explain. (15 pts)

Consider the hypothesis test given byHo: p=0.5H1: p less than 0.5In a random sample of 100 subjects, the sample proportion is found to be p = 45 .0ˆ(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 Ho at the a =0.01 level? Explain. (15 pts)