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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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