SOLUTION: Find the minimum sample size you should use to assure that your estimate of p hat will be within the required margin of error around the population p. Assume the Margin of error is
Algebra ->
Probability-and-statistics
-> SOLUTION: Find the minimum sample size you should use to assure that your estimate of p hat will be within the required margin of error around the population p. Assume the Margin of error is
Log On
Question 354373: Find the minimum sample size you should use to assure that your estimate of p hat will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, p hat is estimated to be 0.2. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Find the minimum sample size you should use to assure that your estimate of p hat will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, p hat is estimated to be 0.2.
----
Since E = z*sqrt(pq/n)
---
n = [z/E]^2*pq
----
n = [1.96/0.08]^2*0.2*0.8
---
n = 97 when rounded up
===========================
Cheers,
Stan H.