In a poll at a community college, 50% of the first year students and 41% of the second year students said that they have a part time job. A 95% confidence interval for the difference in the proportions is (-0.16, -0.02).

a) Interpret this confidence interval.

I am Select an answer 5% 95% confident that the difference in Select an answer sample standard deviations population standard deviations population proportions sample proportions is between Select an answer -0.02 -0.16 and Select an answer -0.16 -0.02 .

b) If the interval contains 0, indicate what this means. Explain the meaning of positive and/or negative values.

The interval Select an answer does not include includes 0, suggesting that it Select an answer is not is possible that Select an answer the population proportions are 0 one of the population is 0 the population proportions are the same . Since the boundary values Select an answer are both positive are both negative have opposite signs we can conclude that the percentage of the first year students who have part time jobs is Select an answer less greater than those in second year.