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In: Statistics and Probability

Hypothesis Test Example For Proportions: What proportion of people do not drink alcohol? You believe that...

Hypothesis Test Example For Proportions:

What proportion of people do not drink alcohol? You believe that the proportion of people in the U.S.A. who do not drink is less than 15%. To determine if you are correct, you take a SRS of 400 U.S. residents, and find the proportion of people who do not drink in your sample is 0.22. Conduct a hypothesis test at the 5% significance level.

A. Write the hypotheses for the test.

B. Check the assumptions for the test. There are two assumptions you must test.

C. What is the z-crit value? Round your answer to 2 decimal places. Include the correct sign.

D. Calculate the value of the test statistic z-calc. Round your answer to 2 decimal places

E. Do you reject or fail to reject the null?

F. Write the conclusion. State the significance level in the conclusion.

G. Increasing sample size while holding the confidence level constant will increase the width of the confidence interval.True or False?

H. Increasing the confidence level while holding the sample size constant will increase the width of a confidence interval. True or False?

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