Chapter 11: Q. 11.31 (page 460)
Obtain a sample size that will ensure a margin of error of at most the one specified.
Margin of error
Confidence level
Short Answer
The required sample size is
Chapter 11: Q. 11.31 (page 460)
Obtain a sample size that will ensure a margin of error of at most the one specified.
Margin of error
Confidence level
The required sample size is
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Get started for freewe have given a likely range for the observed value of a sample proportion
a. Based on the given range, identify the educated guess that should be used for the observed value of to calculate the required sample size for a prescribed confidence level and margin of error.
b. Identify the observed values of the sample proportion that will yield a larger margin of error than the one specified if the educated guess is used for the sample-size computation.
A Harris Roll asked Americans whether states should be allowed to conduct random drug tests on elected officials. Of the respondents, said "yes."
a. Determine the margin of error for a confidence interval.
b. Without doing any calculations, indicate whether the margin of error is larger or smaller for a confidence interval. Explain your answer.
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.
11.94 Drowning Deaths. In the article "Drowning Deaths of Zero to Five Year Old Children in Victorian Dams, 1989-2001" (Australian Journal of Rural Health, Vol. 13, Issue 5, pp. 300-308), L. Bugeja and R. Franklin examined drowning deaths of young children in Victorian dams to identify common contributing factors and develop strategies for future prevention. Of young children who drowned in Victorian dams located on farms, were girls, At the significance level, do the data provide sufficient evidence to conclude that, of all young children drowning in Victorian dams located on farms, less than half are girls?
Government Surveillance. Gallup conducted a national survey of American adults, asking "As you may know, as part of its efforts to investigate terrorism, a federal government agency obtained records from larger U.S. telephone and Internet companies in order to compile telephone call logs and Internet communications. Based on what you have heard or read about the program, would you say that you approve or disapprove of this government program?" Of those surveyed, said they disapprove.
a. Determine and interpret the sample proportion.
b. At the significance level, do the data provide sufficient evidence to conclude that a majority (more than ) of American adults disapprove of this government surveillance program?
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