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: i)Did not complete PS Education: 18 out of 258 sample. ii) Completed PS Education: 11 out of 303 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 95% 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 95% CI =

(use five decimals)

Upper Bound of 95% CI =

(use five decimals)

(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 or lower or the same  as the proportion of gamblers amongst persons who have completed post-secondary education.

Answer 1