The test statistic of z-1.57 is obtained when testing the claim that p 0.124. a.

Question

The test statistic of z-1.57 is obtained when testing the claim that p 0.124. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a 0.01, should we reject Ho or should we fail to reject Ho? Click here to view.page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table a. This is a test. b. P-value (Round to three decimal places as needed.) c. Choose the correct conclusion below. A. Reject Ho . There is sufficient evidence to support the claim that p #0.124. O B. Fail to reject Ho. There is not sufficient evidence to support O c. Reject Ho . There is not sufficient evidence to support the claim that p 0.124. O D. Fail to reject Ho. There is sufficient evidence to support the claim that p #0.124. the claim that p #0.124.

Explanation / Answer

Answer

(A) it is clearly a two tailed test because researcher is interested in determining whether the proportion is less than or greater than 0.124, i.e. he is testing whether proportion is <0.124 or >0.124

so, it is a two tailed hypothesis

(B) using the normal distribution table for z = 1.57 at 0.01 significance level, we get p value = 0.116

(C) Since the calculated p value is more than 0.01, so we can say that p value is insignificant

thus, we fail to reject the null hypothesis because there are insufficient evidence to support the claim.

OPTION B is correct

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