Question

5. Consider the following hypothesis-testing situations. (Give your answers correct to four decimal places.)

(a) Determine the p-value for H_o: p = 0.5, H_a: p ≠0.5, z = 1.4.


(b) Determine the p-value for H_o: p = 0.7, H_a: p ≠0.7, z = -2.31.


(c) Determine the p-value for H_o: p = 0.4, H_a: p > 0.4, z = 1.03.


(d) Determine the p-value for H_o: p = 0.2, H_a: p < 0.2, z = -1.67.

Answer 1

a) P-value = 2 * P(Z > 1.4)

                 = 2 * (1 - P(Z < 1.4))

                 = 2 * (1 - 0.9192)

                 = 2 * 0.0808

                 = 0.1616

b) P-value = 2 * P(Z < -2.31)

                 = 2 * 0.0104

                 = 0.0208

c) P-valle = P(Z > 1.03)

                = 1 - P(Z < 1.03)

                = 1 - 0.8485

                = 0.1515

d) P-value = P(Z < -1.67)

                 = 0.0475