Homework: Ch 11 HW: Two Sample Procedure Question 11, 11.3.7.T Part 7 of 8 HW Score: 92.99%, 15.81 of 17 points O Points: ofl Save A researcher witn the Department of Education tollowed a cohort ot students who graduated trom nign school in a certain year, monitoring the progress the students made toward completing a bachelors 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 ot nis study. Complete parts a) through e) below. Click the icon to view the sample data The sample sizes are large (botn greater than or equal to 30). The samples are independent The samples can be reasonably assumed to be random. c) Does the evidence suggest that community college transfer students take longer to attain a bachelors degree? use an 0.05 level ot significance. Perform a hypothesis test Determine the null and alternative hypotheses. Ho: gcommunity college < gno transfer' Ho: gcommunity college gno transfer Ho: gcommunity college gno transfer Ho: gcommunity college > gno transfer' Determine the test statistic. HI: HI: HI: HI: gcommumty college > yno transfer gcommumty college > yno transfer gcommumty college < yno transfer gcommumty college < yno transfer Sample data Community College Transfer Sample mean time to graduate, in years Sample standard deviation time to graduate, in years print 263 5.38 1.163 No Transfer 1164 4.47 1.021 11.71 (Round to two decimal places as needed.) Determine the P-value_ P-value= 0.000 (Round to three decimal places as needed.) Should the hypothesis be rejected? the null hypothesis. The evidence does suggest that community college transter students take longer to attain a bachelor's degree at the level ot significance. Reject d) Construct a 90% confidence interval tor gcommunity college transfer to approximate the mean additional time it takes to complete a bachelors degree it you begin in community college. The confidence interval is the range trom to (Round to three decimal places as needed.) Done