A researcher wishes to estimate, with 99% confidence, the population proportion of families who eat fast food at least once per week. Her estimate must be accurate within 3% 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 18% of the respondents said they eat fast food four to six times per week. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n = (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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A researcher wishes to estimate, with 99% confidence, the population proportion of families who eat fast food at least
once per week. Her estimate must be accurate within 3% 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 18% of the respondents said they eat
fast food four to six times per week.
(c) Compare the results from parts (a) and (b).
(a) What is the minimum sample size needed assuming that no prior information is available?
n =
(Round up to the nearest whole number as needed.)
Transcribed Image Text:A researcher wishes to estimate, with 99% confidence, the population proportion of families who eat fast food at least once per week. Her estimate must be accurate within 3% 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 18% of the respondents said they eat fast food four to six times per week. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? n = (Round up to the nearest whole number as needed.)
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