Question

An article appeared in the Journal of Gambling Issues, in which the authors looked at random samples of Ontario residents who (i) have not completed some form of post-secondary education and (ii) have completed some form of post-secondary education.


The data: Did not Complete PS Education with gambling problem: 14 out of 255 sample

Did complete PS Education with gambling problem: 9 out of 310 sample

Let pNoPS represent the proportion of persons not completing some form of post-secondary education who have a gambling problem, and pPS be the proportion of persons having completed post-secondary education who have a gambling problem.

(a) Find a 99% confidence interval for pNoPS−pPS, the difference in the proportion of gamblers among those who have not completed post-secondary education and those that have.

Lower Bound of 99% CI =

Upper Bound of 99% CI =

(b) The confidence interval found in part (b) indicates that the proportion problem gamblers amongst those who have not completed post secondary education is  ? higher lower the same  as the proportion of gamblers amongst persons who have completed post-secondary education.

Answer 1