Determine the test statistic show all work writing the

Question

Consider the hypothesis test given by

H₀ :  p = 0.5

H₁ : p > 0.5

In a random sample of 100 subjects, the sample proportion is found to be P^{^} = 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 significant level of 0.01? Explain.