University officials claim that 19.6% of U of Lima students smoke. The student senate disagrees however, and insists on a much lower fraction of smoker students. The senate is granted permission to conduct a survey, in an attempt to provide statistical evidence disproving the university officials' claim. To perform the test a random sample of 568 students were surveyed of which 91 responded \"yes" to "Do you regularly smoke?". t0.025,74='|-993. to.05,74=1-656. 20.025=1-950. 20.05=1-645 What is the conclusion to the test? Select one: A ' x a. The university officials' belief is correct A b. There is enough evidence to prove the university officials' belief is incorrect. mm,- c. At a 5% level of significance, one can reject the null (W d. At a 1% level of significance, one can prove the university officials' belief is correct C e. Band C Manager of a chicken farm wants to investigate the possibility of replacing the current chicken food with a new generation proven to result in heavier chickens. There are two brands A and B available and the manager would like to pick the better one before signing a contract with the chicken food seller. Using sample products of those brands, 35 new born chickens were fed A (population 1) and 40 were fed B (population 2) for a month. Sample means and standard deviations of chicken weights after the feeding period are 22.5 lbs and 1.7 lbs for brand A and 21.1 lbs and 1.3 lbs for brand B. Brand B is recommended by a consulting company but the manager wants to test their claim and seeks to prove that brand A is superior. to.025,73=1.993 t0.05_.73=1.666 to.025,ss=1-988 to.05,ss=1-663 F0.025.34,39=1-922 F0.05.34.39=1-728 Fo.025.39,34=1-951 F0.05_.39.34=1-749 (Assume population variances are equal) Which category of hypothesis testing is the most appropriate to test the manager's claim? Select one: a. t-test for two population differences in means with equal unknown population variances. A b. Single population mean. c. F-test for difference in means. A d. t-test for matched pairs. e. t-test for two population difference in means with unequal unknown population variances