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Chapter 11: Q. 11.44 (page 460)
Obtain a sample size
Margin of error
Confidence level
Likely range
The required sample size is
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The Quinnipiac University Poll conducts nationwide surveys as a public service and for research. In one poll. participants were asked whether they thought eliminating the federal gas tax for the summer months is a good idea. The following problems are based on the results of that poll.
a. OfRepublicans, thought it a good idea, and, of Democrats, thought it a good idea. Obtain a confidence interval for the difference between the proportions of Republicans and Democrats who think that eliminating the federal gas tax for the summer months is a good idea.
b. Of women,thought it a good idea, and, of men, thought it a good idea. Obtain a confidence interval for the difference between the percentages of women and men who think that eliminating the federal gas tax for the summer months is a good idea.
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.
Use your result from Exercise to show that a level confidence interval for the difference between two population proportions that has a margin of error of at most can be obtained by choosing
rounded up to the nearest whole number.
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.
Fill in the blanks.
a. The mean of all possible sample proportions is equal to the
b. For large samples, the possible sample proportions have approximately a distribution.
c. A rule of thumb for using a normal distribution to approximate the distribution of all possible sample proportions is that both and are or greater.
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