i A marketing research firm suspects that a particular product has higher name recognition among college graduates than among ' high school graduates. A sample from each population is selected. and each asked if they have heard of the product in question. A ' l summary of the sample sizes and number of each group answering llyes" are given below: 1' l 1 College Grads (Pop. 1): m = 88, x1 = 57 i High School Grads (Pop. 2): it; = 83, x2 = 41 i The company making the product is willing to increase marketing targeted at high school graduates if the difference between the 1 . two groups is more than 5%. is there evidence, at an a = 0.1 level of significance. to support such an increase in marketing? Carry out an appropriate hypothesis test, lling in the information requested. (a) The value of the standardized test statistic: :3 Note: For the next part. your answer should use interval notation. An answer of the form (00, a) is expressed (-infty, a). an answer of the form (b, 00) is expressed (b, infty), and an answer of the form (00, a) U (b, co) is expressed (infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: C: (d) Your decision for the hypothesis test: A. Do Not Reject H1 . B. Reject H0 . 0. Do Not Reject H0. D. Reject H1