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Catherine Sanchez-Murnan & 9/2 Homework: 3-2 MyStatLab: Module Three Problem Set

ID: 3072170 • Letter: C

Question

Catherine Sanchez-Murnan & 9/2 Homework: 3-2 MyStatLab: Module Three Problem Set Score: 0 of 5 pts 7 of 14 (11 complete) HW Score: 55.36%. : 9.1.33 E o A researcher wishes to estimate the proportion of adults who have (a) she uses a previous estimate of 0 367 b) she does not use any prior estimates? h -speed Internet access what size sample should be obtained if she wishes the estimate to be witn 05 with 99% confidence if (a) n 612 (Round up to the nearest integer) b)n (Round up to the nearest integer)

Explanation / Answer

Ans:

Given that

Margin of error,E=0.05

confidence level=0.99,so z=2.576

a)when prior estimate of p=0.36

Sample size required,n=2.576^2*0.36*(1-0.36)/0.05^2=612*

*(if exact z value without ronding off is used,then n=611 and if z=2.58 is use then n=613)

b)if no prior estimate,then p=0.5

Sample size required,n=2.576^2*0.5*(1-0.5)/0.05^2=664

*(if exact z value without ronding off is used,then n=663 and if z=2.58 is use then n=666)

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