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 rst 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. a Click the icon to view the sample data. Determine the test statistic. t= (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? Do not reject the null hypothesis. The evidence suggest that community college transfer students take longer to attain a bachelor's degree at the a = 0.05 level of signicance. d) Construct a 95% condence interval for \"community college - pm transfer to approximate the mean additional time it takes to complete a bachelor's degree if you begin in community college. The condence interval is the range from 0.840 to 1.140 . (Round to three decimal places as needed.) e) Do the results of parts c) and d) imply that community college causes you to take extra time to earn a bachelor's degree? C) No 0 Yes Sample data Community No Transfer College Transfer n 271 1 181 Sample mean time to 5.46 4.47 graduate, in years Sample standard 1.162 1.017 deviation time to graduate, in years