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.