SOLUTION: A television sports commentator wants to estimate the proportion of citizens who follow professional football. What sample size should be obtained if he wants to be within 2 percen

Algebra ->  Probability-and-statistics -> SOLUTION: A television sports commentator wants to estimate the proportion of citizens who follow professional football. What sample size should be obtained if he wants to be within 2 percen      Log On


   



Question 996051: A television sports commentator wants to estimate the proportion of citizens who follow professional football. What sample size should be obtained if he wants to be within 2 percentage points with 94% confidence if he uses an estimate of 54% obtained from a poll? Round to nearest integer.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A television sports commentator wants to estimate the proportion of citizens who follow professional football. What sample size should be obtained if he wants to be within 2 percentage points with 94% confidence if he uses an estimate of 54% obtained from a poll? Round to nearest integer.
-----------
Since E = z*sqrt[p*q/n]
----------------------
n = [z/E]^2*pq
------
n = [1.8808/0.02]^2*0.54*0.46 = 2197 when rounded up
-------------------
Cheers,
Stan H.
-----------