A researcher wishes to estimate, with 90% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 5% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 42% of the respondents said they eat fast food four to six times per week. (c) Compare the results from parts (a) and (b). What is the minimum sample size needed using a prior study that found that 42% of the respondents said they eat fast food four to six times per week? n=enter your response here (Round up to the nearest whole number as needed.)

A researcher wishes to estimate, with 90% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 5% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 42% of the respondents said they eat fast food four to six times per week. (c) Compare the results from parts (a) and (b). What is the minimum sample size needed using a prior study that found that 42% of the respondents said they eat fast food four to six times per week? n=enter your response here (Round up to the nearest whole number as needed.)

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

A researcher wishes to estimate, with

90%

confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within

of the population proportion.

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample size needed, using a prior study that found that

42%

of the respondents said they eat fast food four to six times per week.

What is the minimum sample size needed using a prior study that found that

42%

of the respondents said they eat fast food four to six times per week?

n=enter your response here

(Round up to the nearest whole number as needed.)

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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