Question

A random sample of n = 214 people who live in a city were selected and 80 identified as a "dog person." A random sample of n2 = 119 people who live in a rural area were selected and 69 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. D <p1- O

Answer 1

salulian: Here we have to find 99% confidence interval from the given data! C.T : (9,-?.) +2. PCA), 2.0-P) - 1-P = 0.6262 = 80/214 R 20.3738 P = Xalne 6/19 Pc 0.6798 ) APA = 0.4202 Now, C.I; -0.2060 + 0.3738(0.6262), 0.57986014202) 214 119 V :~0.2060 0.0560 C.I :(-0.2620, -0.1500) -0.2620 < P- F 50.1500