Question

Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes" are given below: 

UVA (Pop. 1): n₁ = 89,\(\hat{p}_{1}\) = 0.81 

UNC (Pop. 2): n₂ = 86,\(\hat{p}_{2}\) = 0.561 

Find a 97.3% confidence interval for the difference P₁ – P₂ of the population proportions. 

Confidence interval = _______ 

Answer 1