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twoquestions are related to the following You are testing the hypothesis that th

ID: 3053329 • Letter: T

Question

twoquestions are related to the following You are testing the hypothesis that the population proportion is at least 0.75. You select a random of sample of size 400. The number of successes in the sample is 288 22 The test is, a an upper-tail test. The test statistic is 1.39 b a lower-tail test. The test statistic is -1.39. c an upper-tail test. The test statistic is 1.72. d a lower-tail test. The test statistic is-1.72 23 The p-value for the test is. a 0.0823 Reject Ho for a- 0.10, but do not reject for a-0.05. b 0.0823Reject Ho for a- 0.05, but do not reject for a- 0.10. c 0.0427 Reject Ho for ?-0.05, but do not reject for ?-001. d 0.0427 Reject Ho for ?-0.01, but do not reject for ?-0.05.

Explanation / Answer

P = 0.75

p = 288 / 400 = 0.72

22) SE = sqrt(P * (1 - P) / n) = sqrt(0.75 * 0.25 / 400) = 0.0217

Z = (p - P) / SE = (0.72 - 0.75) / 0.0217 = -1.39

Option-B) a lower tail test . The test statistic is -1.39

23) P-value = P(Z < -1.39) = 0.0823

If P-value is less than significance level, then reject H0.

Option-A)