Consider the hypothesis test given by H0 P 05 H1 P 05 In

Consider the hypothesis test given by

H_{0 :} P = 0.5

H₁ : P < 0.5

In a random sample of 100 subjects, the sample proportion is found to be p ˆ = 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.

Solution