SOLUTION: A researcher from a political party wishes to estimate with a 99% confidence level the proportion of female registered voters will vote for his candidate. What is the minimum sampl

Algebra ->  Probability-and-statistics -> SOLUTION: A researcher from a political party wishes to estimate with a 99% confidence level the proportion of female registered voters will vote for his candidate. What is the minimum sampl      Log On


   



Question 1056711: A researcher from a political party wishes to estimate with a 99% confidence level the proportion of female registered voters will vote for his candidate. What is the minimum sample size needed to be within 2% of the true population proportion?

1.) 4144
2.) 3133
3.) 4414
4.) 4441

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The critical z score for 99% is 2.576.
You don't have a p estimate so use the most conservative estimate p=q=0.5.
n=%28z%5Bc%5D%5E2%2Apq%29%2FME%5E2
n=%282.576%2A0.5%2A0.5%29%2F%280.02%29%5E2
n=1610