Question

In a hypothesis test with hypotheses H0 : p = 0.26 and H1 : p ? 0.26, a random sample of size 791 produced a sample proportion of 0.2750. The test is to be made at the 2% significance level. What are the critical values of z? -2.33 and 2.33 -1.983 and 1.983 -2.05 and 2.05 -1.88 and 1.88 What is the value of the test statistic, z, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test?

          In a hypothesis test with hypotheses H0 : p = 0.26 and H1 : p ? 0.26, a random sample of size 791 produced a sample proportion of 0.2750. The test is to be made at the 2% significance level.
What are the critical values of z?
-2.33 and 2.33
-1.983 and 1.983
-2.05 and 2.05
-1.88 and 1.88
What is the value of the test statistic, z, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?

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In a hypothesis test with hypotheses H0 : p = 0.26 and H1 : p ? 0.26, a random sample of size 791 produced a sample proportion of 0.2750. The test is to be made at the 2% significance level.
What are the critical values of z?
-2.33 and 2.33
-1.983 and 1.983
-2.05 and 2.05
-1.88 and 1.88
What is the value of the test statistic, z, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?

Added by Kurt W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Adi S

09/30/2023

Step 1

First, we need to find the critical values for a 2% significance level. Since this is a one-tailed test (Hi: P > 0.26), we will look for the z-score that corresponds to the 98% percentile in the standard normal distribution. Using a z-table or calculator, we find Show more…

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In a hypothesis test with hypotheses H0 : p = 0.26 and H1 : p ≠ 0.26, a random sample of size 791 produced a sample proportion of 0.2750. The test is to be made at the 2% significance level. What are the critical values of z? -2.33 and 2.33 -1.983 and 1.983 -2.05 and 2.05 -1.88 and 1.88 What is the value of the test statistic, z, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test?

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