A 95% confidence interval for p the proportion of supermarket customers who do not buy house-brand products at all is calculated as 32%. With a margin of error of E=±4%, z*=1.96 for a 95% C.L. a) The population proportion is b) The unbiased point estimator is e) What sample size is needed for a 95% confidence level (z*=1.96) and margin of error of E=±2% and sample proportion of 32%? Round your answer to the next whole number.

A 95% confidence interval for p the proportion of supermarket customers who do not buy house-brand products at all is calculated as 32%. With a margin of error of E=±4%, z=1.96 for a 95% C.L. a) The population proportion is b) The unbiased point estimator is e) What sample size is needed for a 95% confidence level (z=1.96) and margin of error of E=±2% and sample proportion of 32%? Round your answer to the next whole number.

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

A 95% confidence interval for p the proportion of supermarket customers who do not buy house-brand products at all is calculated as 32%. With a margin of error of E=±4%, z*=1.96 for a 95% C.L.

a) The population proportion is

b) The unbiased point estimator is

e) What sample size is needed for a 95% confidence level (z*=1.96) and margin of error of E=±2%

and sample proportion of 32%? Round your answer to the next whole number.

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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