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Chapter 11: Q.5 (page 480)
What does the margin of error for the estimate of a population proportion tell you?
The margin of error is equal to half of the sureness (confidence) interval's length.
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Women in the Labor Force. The Organization for Economic Cooperation and Development (OFCD) summarizes data on labor-force participation rates in O E C D in Figures. Independent simple random samples were taken of 300 U.S. women and 250 Canadian women. Of the U.S. women, 215 were found to be in the labor force; of the Canadian women. 186 were found to be in the labor force.
a. At the significance level, do the data suggest that there is a difference between the labor-force participation rates of U.S. and Canadian women?
b. Find and interpret a confidence interval for the difference between the labor-force participation rates of U.S. and Canadian women.
Life Support. In , the Terri Schiavo case focused national attention on the issue of withdrawal of life support from terminally ill patients or those in a vegetative state. A Harris Poll of U.S. adults was conducted by telephone on April , Of those surveyed, had experienced the death of at least one family member or close friend within the last years who died after the removal of life support. Find and interpret a confidence interval for the proportion of all U.S. adults who had experienced the death of at least one family member or close friend within the last years after life support had been withdrawn.
a. Determine the sample proportion.
b. Decide whether using the one-proportion test is appropriate.
c. If appropriate, use the one-proportion test to perform the specified hypothesis test.
Folic Acid and Birth Defects. Refer to Exercise 11.107 and determine and interpret a 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.
Getting a Job. The National Association of Colleges and Employers sponsors the Graduating Student and Alumni Survey. Part f the survey gauges student optimism in landing a job after graduation. According to one year's survey results, published in American Demographics, the respondents, said that they expected difficulty finding a job. Note: In this problem and the next, round your proportion answers to four decimal places.
a. Use these data to find and interpret a confidence interval for the proportion of students who expect difficulty finding a job.
b. Find the margin of error for the estimate of .
c. Express the confidence interval in the form point estimate margin of error.
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