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Chapter 11: Q. 11.17 (page 459)

A Harris Roll asked Americans whether states should be allowed to conduct random drug tests on elected officials. Of 21,355the respondents, 79%said "yes."

a. Determine the margin of error for a 99%confidence interval.

b. Without doing any calculations, indicate whether the margin of error is larger or smaller for a 90%confidence interval. Explain your answer.

Short Answer

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(a)

Step by step solution

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Part (a) Step 1: Given information

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Part (a) Step 2: Explanation

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Part (b) Step 1: Given information

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Part (b) Step 2: Explanation

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Most popular questions from this chapter

Folic Acid and Birth Defects. Refer to Exercise 11.107 and determine and interpret a 98% confidence interval for the difference between the rates of major birth defects for babies born to women who have taken folic acid and those born to women who have not.

Buckling Up. Refer to Exercise 11.109and find and interpret a 99%confidence interval for the difference between the proportions of seat-belt users for drivers in the age groups 16-24 years and 25-69 years.

Christmas Presents. The Arizona Republic conducted a telephone poll of 758Arizona adults who celebrate Christmas. The question asked was, "In your family, do you open presents on Christmas Eve or Christmas Day?" Of those surveyed, 394said they wait until Christmas Day.

a. Determine and interpret the sample proportion.

b. At the 5%significance level, do the data provide sufficient evidence to conclude that a majority (more than 50%) of Arizona families who celebrate Christmas wait until Christmas Day to open their presents?

The Organization for Economic Cooperation and Development (OECD) conducts studies on unemployment rates by country and publishes its findings in the document Main Economic Indicators. Independent random samples of 100and75 people in the civilian labor forces of Finland and Denmark, respectively, revealed 7and 3 unemployed, respectively. Find a 95% confidence interval for the difference between the unemployment rates in Finland and Denmark.

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

x=3

n=100

H0:p=0.04

Ha:p≠0.04

α=0.10
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