Using the formula for the margin of error, it is found that Haley should sample 12,724 soldiers.
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 z-score that has a p-value of .
The margin of error is of:
Estimate of the proportion of 64%, hence .
94% confidence level
So , z is the value of Z that has a p-value of
, so
.
Margin of error of <u>less than 0.008</u> is wanted, hence, we have to find n when M = 0.008.
Rounding up, Haley should sample 12,724 soldiers.
A similar problem is given at brainly.com/question/25404151
