A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of his study. Complete parts a) through e) below. Click the icon to view the sample data. Determine the test statistic. 1= (Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.) Should the hypothesis be rejected? the null hypothesis. The evidence suggest that community college transfer students take longer to attain a bachelor's degree at the a = 0.01 level of significance. d) Construct a 99% confidence interval for Hcommunity college - Hno transfer to approximate the mean additional time it takes to complete a bachelor's degree if you begin in community college. The confidence interval is the range from to Sample data (Round to three decimal places as needed.) e) Do the results of parts c) and d) imply that community college causes you to take extr Community No Transfer O No College Transfer n 253 1136 O Yes Sample mean time to 5.45 4.53 graduate, in years Sample standard 1.161 1.019 deviation time to graduate, in years