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# (Solved) MATH225 Week 6 Assignment : Estimating Sample Size for a Population Proportion

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Question

Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to beÂ 90%Â confident that the estimated (sample) proportion is withinÂ 2Â percentage points of the true population proportion of customers who keep up with regular vehicle maintenance?

 z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

Question

Suppose a clothing store wants to determine the current percentage of customers who are over the age of forty. How many customers should the company survey in order to beÂ 92%Â confident that the estimated (sample) proportion is withinÂ 3Â percentage points of the true population proportion of customers who are over the age of forty?

 z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

Question

Suppose a shoe store wants to determine the current percentage of customers who are males. How many customers should the company survey in order to beÂ 98%Â confident that the estimated (sample) proportion is withinÂ 3Â percentage points of the true population proportion of customers who are males?

 z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

Question

Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to beÂ 95%Â confident that the estimated (sample) proportion is withinÂ 2Â percentage points of the true population proportion of customers who keep up with regular vehicle maintenance?

 z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

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