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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.
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