You did a different sample of students at City College and SF State. In the random sample of 400 City College students you found that 192 of them had jobs. Of the 300 students you sampled at State, 108 had jobs. You want to determine if there is a statistically significant difference in the population proportions of students who work at the two schools.

11. What is the point estimate of the difference between the two population proportions?
12. Develop a 95% confidence interval for the difference between the two population proportions.
13. You have a theory that students at City College are more likely to have jobs than students at State. Give the hypothesis test you would use to determine if there is a statistically significant support for your theory in the sample data.
14. Based on the confidence level in question 12, what is the significance level you would use?
15. Calculate the pooled estimate of p. Use 4 decimal points.
16. Use this pooled estimate of p to calculate the test statistic for your hypothesis test
17. What is the p-value? 18. What is your condusion in statistical terms? 19. How wouúd you explain your condusion to someone who has not taken a statistics class?