A research intern would like to estimate, with 95% confidence, the true proportion of employees who are unsatisfied with their current job. No preliminary estimate is available. The researcher wants the estimate to be within 5% of the population mean. The research intern has a table to use: z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 They complete the calculation for the minimum sample size as follows.... n=1.962(0.5)(0.5)52≈0.038 Which the intern then rounds up to 1. Which value in the calculation is incorrect?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A research intern would like to estimate, with 95% confidence, the true proportion of employees who are unsatisfied with their current job. No preliminary estimate is available. The researcher wants the estimate to be within 5% of the population mean.

The research intern has a table to use:

 

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

 

They complete the calculation for the minimum sample size as follows....

 

n=1.962(0.5)(0.5)52≈0.038

 

Which the intern then rounds up to 1. Which value in the calculation is incorrect?

 

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this solution is incorrect since the 

confidence level is 90%

margin of error is 3%

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