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.Com
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) (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.
-----------
RELATED QUESTIONS
Question Help:
A television sports commentator wants to estimate the proportion of... (answered by Theo)
A survey showed that 73% of the random sample of 1506 people interviewed
favored drug... (answered by math_tutor2020)
A research company wishes to estimate, with 95% confidence, the proportion of people who... (answered by stanbon)
A random sample of 59 professional cricket players revealed that fifteen preferred to the (answered by Boreal)
Television viewers often express doubts about the validity of certain commercials. In a... (answered by stanbon)
Suppose I want to estimate the proportion of Americans who watch TV. So I collected a... (answered by stanbon)
A social service worker wants to estimate the true proportion of
pregnant teenagers who... (answered by lynnlo)
Pharmaceutical companies promote their prescription drugs using television advertising.... (answered by math_tutor2020)
Assume professional volleyball players who are women are at least 6 foot tall. What... (answered by solver91311)