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Chapter 8: Q 51. (page 523)

Starting a nightclub A college student organization wants to start a nightclub for students under the age of 21.To assess support for this proposal, they will select an SRS of students and ask each respondent if he or she would patronize this type of establishment. What sample size is required to obtain a 90%confidence interval with a margin of error of at most 0.04?

Short Answer

Expert verified

Sample size is423.

Step by step solution

01

Given Information

Confidence Level =90%

E=0.04

Corresponding to 90%confidence level role="math" localid="1654454884514" Z伪2=1.645

02

Calculation of Sample Size

The formula used is:

n=p^(1-p^)za2E2

Regarding p^, no detail is given assume it as 0.50

Hence, n=p^(1-p^)za2E2

=0.50(1-0.50)1.6450.042

=422.816鈮�423

Sample Size is423

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Most popular questions from this chapter

Check whether each of the conditions is met for calculating a confidence interval for the population proportion

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Age and video games Refer to Exercise 41. The study also estimated that 67% of adults aged 18鈥�29play video games, but only 25%of adults aged 65and older play video games.

a. Explain why you do not have enough information to give confidence intervals for these two age groups separately.

b. Do you think a 95% confidence interval for adults aged 18鈥�29 would have a larger or smaller margin of error than the estimate from Exercise 41? Explain your answer.

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minutes. What is the standard error of the mean? Interpret this value in context.

A 90%confidence interval for the mean 渭 of a population is computed from a random sample and is found to be90卤30. Which of the following could be the 95%confidence interval based on the same data?

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