Suppose that you are to conduct the following hypothesis test: H_0: mu = 490 H_1

Question

Suppose that you are to conduct the following hypothesis test: H_0: mu = 490 H_1: mu notequalto 490 Assume that you know that sigma = 125, n = 50, x = 467.5, and take alpha = 0.05. Draw the sampling distribution and use it to determine each of the following: A. The value of the standardized test statistic: -1.27 B. The rejection region for the standardized test statistic: 1.96 C. The p-value is 0.102 D. Your decision for the hypothesis test: A. Reject H_0. B. Reject H_1. C. Do Not Reject H_1. D. Do Not Reject H_0.

Explanation / Answer

Answer with calc. and steps below:

A. Z = (467.5-490)/(125/sqrt(50)) = -1.272

B. The rejection region given that its' 2 sided alpa hypothesis is 1.96. Looking into Z tables for this.

C. The p value is .1020. Looking up in the Z tables for this.

D. The decision for the hypothesis test is : D.Do not reject Ho

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