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 0.025 margin of error at a 98% level of confidence. a. With no prior research, what sample size should you gather in order to obtain a 0.025 margin of error? b. Your firm has decided that your plan is too expensive, and they wish to reduce the sample size, and you obtain a sample proportion of p=0.205 . Using this new information. What sample size should you gather in order to obtain a 0.025 margin of error?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 0.025 margin of error at a 98% level of confidence.

a. With no prior research, what sample size should you gather in order to obtain a 0.025 margin of error?

b. Your firm has decided that your plan is too expensive, and they wish to reduce the sample size, and you obtain a sample proportion of p=0.205 . Using this new information. What sample size should you gather in order to obtain a 0.025 margin of error?

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