In: Statistics and Probability
A social scientist is interested in determining if there is a significant difference in the proportion of people who report working full time between two groups: those with a high school education or less (Group 1) and those with an associates’s degree or higher (Group 2). Using data from the General Social Survey, the researcher obtains the following table:
Education | Working Full Time | Other Employment Status | Total |
No College (Group 1) | 500 | 764 | 1264 |
At Least Some College (Group 2) | 412 | 298 | 710 |
What is the lower bound of the 95% confidence interval for the difference in the proportion of people working full time with a high-school education or less and those working full time with an associate's degree or higher, to three decimal places? Take all calculations toward the answer to four (4) decimal places.