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Chapter 11: Q.11.5 (page 459)

Regarding a sample proportion:

a. What is it?

b. What symbol is used for it?

Short Answer

Expert verified

(a) The sample proportion is the percentage of the sample obtained from the proportion.

(b) The symbol for sample proportion isP^

Step by step solution

01

Part (a) Step 1: Given information

Given in the question that, We need to find the meaning of sample proportion.

02

Part(a) Step 2: Explanation

The sample proportion is the percentage of the sample obtained from the proportion.

03

Part (b) Step 1: Given information

Given in the question that, We need to find the symbol for Sample proportion.

04

Part(b) Step 2: Explanation

The symbol for sample proportion isP^

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Most popular questions from this chapter

Vasectomies and Prostate Cancer. In the United States, approximately 450,000 vasectomies are performed each year. In this surgical procedure for contraception, the tube carrying sperm from the testicles is cut and tied. Several studies have been conducted to analyze the relationship between vasectomies and prostate cancer. The results of one such study by E. Giovannucci et al. appeared in the paper "A Retrospective Cohort Study of Vasectomy and Prostate Cancer in U.S. Men" (Journal of the American Medical Association. Vol. 269(7), Pp. 878-882), Of 21,300 men who had not had a vasectomy, 69 were found to have prostate cancer; of 22,000 men who had had a vasectomy, 113 were found to have prostate cancer.

a. At the 1% significance level, do the data provide sufficient evidence to conclude that men who have had a vasectomy are at greater risk of having prostate cancer? Consider men who had had a vasectomy Population 2.

b. Is this study a designed experiment or an observational study Explain your answer.

c. In view of your answers to parts (a) and (b), could you reasonably conclude that having a vasectomy causes an increased risk of prostate cancer? Explain your answer.

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

x=16

n=20

H0:p=0.7

Ha:p鈮�0.7

a=0.05

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

Margin of error=0.01

Confidence level=95%

Prerequisites to this exercise are Exercises . Why do your graphs in parts (c) of those exercises illustrate the impact of increasing sample size on sampling error? Explain your answer.

Indicted Governor. On Thursday, June 13, 1996, thenArizona Governor Fife Symington was indicted on 23counts of fraud and extortion. Just hours after the federal prosecutors announced the indictment, several polls were conducted of Arizonans asking whether they thought Symington should resign. A poll conducted by Research 91影视, Inc., that appeared in the Phoenix Gazette, revealed that 58%of Arizonans felt that Symington should resign; it had a margin of error of plus or minus 4.9 percentage points. Another poll, conducted by Phoenix-based Behavior Research Center and appearing in the Tempe Daily News, reported that 54% of Arizonans felt that Symington should resign; it had a margin of error of plus or minus 4.4 percentage points. Can the conclusions of both polls be correct? Explain your answer.
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