Question

Construct a confidence interval for Pi-P, at the given level of confidence X =25, 7, -268, X2 = 38, n2 = 321, 90% confidence The researchers are 90% confident the difference between the two population proportions, P, P2, is between and (Use ascending order. Type an integer or decimal rounded to three decimal places as needed)

Answer 1

for 90% of confidence, 2x12= 1.645. The Margin of es Given that U= 25 na = 38 n2=321 ni= 268, P2 = 22 2012 ni P-21 -0.09 &i=l-p1=0.91, 22 20.88 25+ 38 268+321 P=xituz nitz = 0.12 q=1P = 0.88 SE = pq ( 11 ) Standard coor 0.1210.88)(0.006846) = 0.0269 erro E = 20/2 (se) = 0.0442 The 90% confidence Interval is between P.-P2-E and p-pate 0.09-0.12 -0.044 and 0.09-0:12+0.044 = -0.074 and 0.014.