We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion. Find the sample size needed to give, with 90% confidence, a margin of error within ±4%±4% when estimating a proportion. Within ±3%±3%. Within ±1%±1%. (Assume no prior knowledge about the population proportion p.) Round your answers up to the nearest integ

We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion. Find the sample size needed to give, with 90% confidence, a margin of error within ±4%±4% when estimating a proportion. Within ±3%±3%. Within ±1%±1%. (Assume no prior knowledge about the population proportion p.) Round your answers up to the nearest integ

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 23PFA

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Question

What Influences the Sample Size?

We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion.

Find the sample size needed to give, with 90% confidence, a margin of error within ±4%±4% when estimating a proportion. Within ±3%±3%. Within ±1%±1%. (Assume no prior knowledge about the population proportion p.)

Round your answers up to the nearest integer.

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.

Expert Solution