We want to estimate the proportion of defective parts produced by a machine and the estimation will be through a two-sided confidence interval and simple random sampling with replacement. a) Assuming a confidence level of 90% and a margin of error of 3%, what is the required sample size? (Assume maximum variance). b) Assuming a 90% confidence level and a 3% estimation error, what is the required sample size? (Assume maximum variance).

We want to estimate the proportion of defective parts produced by a machine and the estimation will be through a two-sided confidence interval and simple random sampling with replacement. a) Assuming a confidence level of 90% and a margin of error of 3%, what is the required sample size? (Assume maximum variance). b) Assuming a 90% confidence level and a 3% estimation error, what is the required sample size? (Assume maximum variance).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

J 2 We want to estimate the proportion of defective parts produced by a machine and the estimation will be through a two-sided confidence interval and simple random sampling with replacement. a) Assuming a confidence level of 90% and a margin of error of 3%, what is the required sample size? (Assume maximum variance). b) Assuming a 90% confidence level and a 3% estimation error, what is the required sample size? (Assume maximum variance).

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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