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Chapter 11: Q.2 (page 479)

Why is a sample proportion generally used to estimate a population proportion instead of obtaining the population proportion directly?

Short Answer

Expert verified

Because obtaining a sample proportion is faster and less expensive than obtaining a population proportion, it is always employed to estimate population proportion.

Step by step solution

01

Given information

Given in the question that, we need to find that why a sample proportion generally used to estimate a population proportion instead of obtaining the population proportion directly.

02

Explanation

Because obtaining a sample proportion is faster and less expensive than obtaining a population proportion, it is always employed to estimate population proportion.

As a result, in practice, sampling is always employed to advance.

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Most popular questions from this chapter

In this Exercise, we have given the number of successes and the sample size for a simple random sample from a population. In each case,

a. use the one-proportion plus-four z-interval procedure to find the required confidence interval.

b. compare your result with the corresponding confidence interval found in Exercises 11.25-11.30, if finding such a confidence interval was appropriate.

x=3,n=100,99%level

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

11.99 Of the quantities p1,p2,x1,x2,p^1,p^2, and p^p.
a. which represent parameters and which represent statistics?
b. which are fixed numbers and which are variables?

11.98 Consider a hypothesis test for two population proportions with the null hypothesis H0:p1=p2. What parameter is being estimated by the
a. sample proportion p1?
b. sample proportion p^2 ?
c. pooled sample proportion p^p ?
See all solutions

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