You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.03 margin of error at a 99% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.23 . Using this new information. what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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You work for a marketing firm that has a large client in the automobile industry. You have been asked to
estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned
to gather a random sample that could be used to estimate this proportion to within a 0.03 margin of error
at a 99% level of confidence.
a) With no prior research, what sample size should you gather in order to obtain a 0.03 margin of error?
Round your answer up to the nearest whole number.
n =
households
b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required.
You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.23 . Using this new
information. what sample size should you gather in order to obtain a 0.03 margin of error? Round your
answer up to the nearest whole number.
households
Transcribed Image Text:You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.03 margin of error at a 99% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.23 . Using this new information. what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. households
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