Question

An article estimates, with 90% confidence, that the proportion of elementary school teachers who are female is 82%. The article also states the maximum error of their estimate is 3%. Determine the resulting 90% confidence interval for the proportion of elementary school teachers who are female.

Answer 1

Answer:   (80% , 85%)

Step-by-step explanation:

We know that, confidence interval for population proportion is given by :-

(p-E , p+E)

, where p = sample proportion , E = Margin of error.

Given : Proportion of elementary school teachers who are female = 82%.

The article also states the maximum error of their estimate = 3%.

Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :

(82%-2% , 82%+3%)

= (80% , 85%)

Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)