Question

# An article appeared in the Journal of Gambling Issues, in which the authors looked at random...

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.

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