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 0.015 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.015 margin of error? 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 = 0.22 . Using this new information. what sample size should you gather in order to obtain a 0.015 margin of error?

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 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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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
0.015 margin of error at a 95% level of confidence.
a) With no prior research, what sample size should you
gather in order to obtain a 0.015 margin of error?
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 = 0.22 . Using this new information. what
sample size should you gather in order to obtain a 0.015
margin of error?
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 0.015 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.015 margin of error? 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 = 0.22 . Using this new information. what sample size should you gather in order to obtain a 0.015 margin of error?
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