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Chapter 11: Q.11.8 (page 459)

Explain the relationships among the sample proportion, the number of successes in the sample, and the sample size.

Short Answer

Expert verified

stands for the sample proportion.

p'=Xn is the general formula for sample proportion.

The sample proportion is obtained by dividing the sample size by the number of successes, which is the link between sample proportion, number of successes, and sample size.

Step by step solution

01

Given information

Given in the question that, we need to explain the relationships among the sample proportion, the number of successes in the sample, and the sample size.

02

Explanation

The following is the link between sample proportion, number of successes, and sample size:

The sample proportion is the fraction of the population that was taken as a sample.

p'stands for the sample proportion.

role="math" localid="1651249720477" p'=Xnis the general formula for sample proportion.

The sample proportion is obtained by dividing the sample size by the number of successes, which is the link between sample proportion, number of successes, and sample size.

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Most popular questions from this chapter

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 5%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 95% confidence interval for the difference between the labor-force participation rates of U.S. and Canadian women.

x1=30,n1=80,x2=15,n2=20;95%confidence interval

Obtain a sample size that will ensure a margin of error of at most the one specified.

Margin of error=0.02

Confidence level=95%

Life Support. In 2005, 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 1010 U.S. adults was conducted by telephone on April 5-10, 2005 Of those surveyed, 140 had experienced the death of at least one family member or close friend within the last 10 years who died after the removal of life support. Find and interpret a 90% 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 10 years after life support had been withdrawn.

NBA Draft Picks. From Wikipedia's online document "Lis of First Overall NBA Draft Picks," we found that, since 1947, 10.4%of the number-one draft picks in the National Basketball Association have been other than U.S. nationals.

a. Identify the population.

b. Identify the specified attribute.

c. Is the proportion 0.104(10.4%)a population proportion or a sample proportion? Explain your answer.
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