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 pˆ =0.47 .

(a) Determine the test statistic. 

(b) Determine the p-value for this test.

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