A determine the test statistic show all work writing the

Question

Consider the hypothesis test given by

H ₀ : p = 0.5

H ₁ : p > 0.5

In a random sample of 625 subjects, the sample proportion is found to be ˆp = 0.55.

(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.