Question

An instructor in a class of 417 students is considering the possibility of a take-home final examination. She wants to take a random sample of class members to estimate the proportion who prefer this form of examination. If a $90 \%$ confidence interval for the population proportion must extend at most 0.04 on each side of the sample proportion, how large a sample is needed?

Name: Problem 77, Chapter 7: Statistics for Business and Economics: Global Edition
Uploaded: 2022-01-16T20:56:46-08:00
Duration: 3 min 34 s
Channel: Sheryl Ezze
Description: An instructor in a class of 417 students is considering the possibility of a take-home final examination. She wants to take a random sample of class members to estimate the proportion who prefer this form of examination. If a 90 % confidence interval for the population proportion must extend at most 0.04 on each side of the sample proportion, how large a sample is needed?

   An instructor in a class of 417 students is considering the possibility of a take-home final examination. She wants to take a random sample of class members to estimate the proportion who prefer this form of examination. If a $90 \%$ confidence interval for the population proportion must extend at most 0.04 on each side of the sample proportion, how large a sample is needed?

Statistics for Business and Economics: Global Edition

Newbold P., Carlson… 8th Edition

Chapter 7, Problem 77

Instant Answer

Solved by Expert Sheryl Ezze

01/16/2022

Step 1

We need to find the sample size $ n $ such that the 90% confidence interval for the proportion $ p $ (the proportion of students who prefer a take-home final) extends at most 0.04 on each side of the sample proportion $ \hat{p} $. The formula for the margin Show more…

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An instructor in a class of 417 students is considering the possibility of a take-home final examination. She wants to take a random sample of class members to estimate the proportion who prefer this form of examination. If a $90 \%$ confidence interval for the population proportion must extend at most 0.04 on each side of the sample proportion, how large a sample is needed?