A study was carried out at an Edmonton hospital to compare two different methods of care management of geriatric patients who were transferred from the emergency room to the geriatric ward. The two methods were "usual care" and "geriatric team care." The assignment of patients to the two groups was done at random; 40 were assigned to the "usual care" group (control group, C) and 37 to the "geriatric team care" group (treatment group, T). The researcher is interested in carrying out a hypothesis test to see if the average hospitalization cost for the "geriatric team care" is less than that for the "usual care" at the significance level of 0.1. The sample mean hospitalization cost for the control group is 3195 dollars with a sample standard deviation of 1165 dollars. The sample mean hospitalization cost for the "geriatric team care" is 2150 dollars with a sample standard deviation of 1210 dollars. (a) What are the null and alternative hypotheses? Ho: MC - HT + = 4 0 HA: HC - UT 0 (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.005