Instead of paying to support welfare recipients, many people want them to find j
ID: 3134992 • Letter: I
Question
Instead of paying to support welfare recipients, many people want them to find jobs. If necessary, they want each province to create public service jobs for those who cannot find jobs in private industry. In a survey of 800 voters, 400 Conservatives (population 1) and 400 Liberals (population 2), 75% of the Conservatives and 90% of the Liberals favored the creation of public service jobs. Use a 95% large-sample confidence interval estimation procedure to compare the difference between the proportions of Conservatives and Liberals who favor creating public service jobs in the population of registered voters[5]. Explain your conclusions
Explanation / Answer
Use a 95% large-sample confidence interval estimation procedure to compare the difference between the proportions of Conservatives and Liberals who favor creating public service jobs in the population of registered voters
P1 = 0.75
P2 = 0.90
P = 0.50
alpha / 2 = 0.025 Z=1.96
0.75 - 0.90 +/- 1.96 * srqt ( 0.50*0.50 / 800 )
-0.15 +/- 0.0346
-0.1846 < p1 - p2 < -0.1154