Stats homework please help

Question

1. Find the 𝑃 −value for the indicated hypothesis test for a population proportion with the given standardized test statistic (𝑧 −score).

Two-tailed test, 𝑧 = 2.13

(a) 0.0166 (b) .0332 (c) 0.0083 (d) 0.0664

2. Find the z-critical value necessary to construct a confidence interval at the 86% level of confidence.

(a) .52 (b) -1.48 (c) 1.48 (d) 1.08 Q20

3. Find the margin of error for the given confidence interval: (54.9,59.5)

(a) 2.3 (b) 57.2 (c) 5.6 (d) 4.6

Answer 1

1. 2*P(z < -2.13) = 2 * 0.0166 = 0.332 (b)
2. Need z for probability 0.93 = 1.48 (c)
3. (59.5-54.9)/2 = 2.3 (a)