Question

In a survey, 29% of 230 single women said that they definitely want to have children." In the same survey, 25% of 255 single men gave the same response. Constru a 90% confidence interval estimate of the difference between the proportions of single women and single men who definitely want to have children. Is there a gender gap? Construct a 90% confidence interval estimate <P1-P2 (Round to three decimal places as needed) Is there a gender gap? Choose the correct answer below. O A. Since the interval contains 0, there is evidence of a gender gap O B. Since the interval does not contain 0, there is evidence of a gender gap OC. Since the interval does not contain there is no evidence of a gender gap O D. Since the interval contains 0, there is no evidence of a gender gap

Answer 1

Solsition C We need to construct 90% confidence internal for the difference between population proportions pi-p2. ble have been provided with the following information about the sample proportionen Sample propostion 1 C) = 0.29 Sample proportion 2 (po - 0.25 Sample size i cig 230 sample size 2 (na) = 255 The critical value for gooi 10 išs Zc Zinot = 1.645. The corresponding confidence internal is computed as shown below. CI= ( pi - p2 - 2c ph (lap?) + pê (pa), -thina pî p2 - 2 S (10p). Api (top) zni na =(0.29 -0,25 -1.645x 0.29 (1-0.29) + 0.25(1-0,25) 230 255 0.29. 0.25 +1.645 10:29 ( 1-0.29) 0.25(lo.2s) 230 255 (0.04 – 1,6451(0040.399592), 0.04 + 1:645x (0.040.399592))