Question

(1 point) 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): 1, 91, PE 0.763 UNC (Pop. 2): 1 96. 0.611 Find a 92 2% confidence interval for the difference Pu P, of the population proportions, Confidence interval preview answe Entered Answer Preview

Answer 1

Given that, UVA (Pop. 1) nis91 UNC (Pop.2) : n = 96 Ñ = 0.763 p = 0,611 > 92,2%, confidence interval for the difference Pi-P2 of the population proportion is, PICÔ - P2) - Zojz F, C1-6) (1-2) = Pi-P2 Q + ni ha Chi tê) + Zara PCI-PA) Paci-pa) -0,922 + ni ha ,: 1-aaO, 922 d =0,078 Zay2 = 20.03g = 1.76

Pê ci-pê Upper limits (P - P2) + Zaye pici-pi) V + he =(0,763 -0,611) +1.76 * 0,763 * 0,237 + 0,611* 0,389 96 91 0.152 +1.76 x 0,0668 = + 0,152 + 0.1175 O. 2695 =co-pê) - 2012 PÅ C1-pi Lower limit P2 C1-22) ha - C0,763 - 0,611) - 1.76 *0,0668 0,152 - 0.1175 0,0345 :: 92,2% confidence interval for the difference Pi-P2 of the population proportion is, - - (0.0345 ; 0.2695)