The research group asked the following question of individuals who earned in exc
ID: 3264261 • Letter: T
Question
The research group asked the following question of individuals who earned in excess of $100,000 per year and those who earned less than $100,000 per year: "Do you believe that it is morally wrong for unwed women to have children?" Of the1,205 individuals who earned in excess of $100,000 per year,712 said yes; of the 1,310 individuals who earned less than $100,000 per year, 690 said yes. Construct a 95% confidence interval to determine if there is a difference in the proportion of individuals who believe it is morally wrong for unwed women to have children.
The lower bound is____
(Round to three decimal places as needed.)
The Upper bound is _____ ( round to three decimal places as needed.)
Explanation / Answer
The statistical software output for this problem is:
Two sample proportion summary confidence interval:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
95% confidence interval results:
Hence,
Lower bound = 0.025
Upper bound = 0.103
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1 - p2 712 1205 690 1310 0.064153812 0.019771466 0.02540245 0.10290517