A researcher wishes to estimate, with 95% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 4% 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 44% 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.) (b) What is the minimum sample size needed using a prior study that found that 44% of the respondents said they eat fast food four to six times per week? n= (Round up to the nearest whole number as needed.) (c) How do the results from (a) and (b) compare? O A. Having an estimate of the population proportion has no effect on the minimum sample size needed. O B. Having an estimate of the population proportion raises the minimum sample size needed. OC. Having an estimate of the population proportion reduces the minimum sample size needed.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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A researcher wishes to estimate, with 95% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 4% 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 44% 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.)
(b) What is the minimum sample size needed using a prior study that found that 44% of the respondents said they eat fast food four to six times per week?
n=(Round up to the nearest whole number as needed.)
(c) How do the results from (a) and (b) compare?
O A. Having an estimate of the population proportion has no effect on the minimum sample size needed.
O B. Having an estimate of the population proportion raises the minimum sample size needed.
O C. Having an estimate of the population proportion reduces the minimum sample size needed.
Transcribed Image Text:A researcher wishes to estimate, with 95% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 4% 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 44% 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.) (b) What is the minimum sample size needed using a prior study that found that 44% of the respondents said they eat fast food four to six times per week? n=(Round up to the nearest whole number as needed.) (c) How do the results from (a) and (b) compare? O A. Having an estimate of the population proportion has no effect on the minimum sample size needed. O B. Having an estimate of the population proportion raises the minimum sample size needed. O C. Having an estimate of the population proportion reduces the minimum sample size needed.
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