Answer:
The minimum sample size necessary is 2305.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The researcher wishes to be accurate within 2% of the true proportion. Find the minimum sample size necessary?
We need a sample size of n.
n is found when M = 0.02. So
Rounding up
The minimum sample size necessary is 2305.
