1.

In a test of the hypothesis H₀: p = 0.6 against H_a: p > 0.6, the power of the test when p = 0.7 is greatest for which of the following? (4 points)

a	n = 45, = 0.10
b	n = 45, = 0.05
c	n = 50, = 0.10
d	n = 50, = 0.05
e	There is not enough information given to draw a conclusion.

2.

A poll of 1,000 randomly selected registered voters was taken and 584 responded that they favor candidate X for governor (p ₁ = 0.5840). Just before the election, another poll of 950 registered voters was taken and 401 individuals responded that they favor candidate X (p ₂ = 0.4221). A 95% two-proportion z confidence interval for the true difference between p ₁ and p ₂ was found to be (0.1181, 0.2057). What is the meaning of the interval in the context of the problem? (4 points)

a	There has been a substantial gain in support for the candidate.
b	There has been a substantial drop in support for the candidate.
c	There has been no change in support for the candidate.
d	It is probable for the candidate to get most of the votes because the confidence interval is positive.
e	It is not probable for the candidate to get most of the votes because support has dropped below 50%.