Question 3 [5 Marks] A marketing research firm is conducting a study to determine if there...

Question - 3 Answer: Given that A marketing research firm is conducting a steedy to determine if there is relationship between an individuals age and the individual's preferred source of necos The following results were obtained - Age of respondent Individual's Preferred 20-30 31-40 41-50 Over 50 Total Source for news 27 88 1408 1269 Newspaper 19 I G2 95 147 323 Radio/TV 125 168 Internet 104 113 | 37 | 15 150 300 300 250 1000 let Hoi Age of the individual is independent of the individuals preferred source for news: HA: Age of the individual and individual's Preferred sonce for news are not independent.

To determine expected cell frequencies : the expected cell frequencies are determined by multiplying the Row total by the column and divide the overall sample size. for example: Pol Newspaper and 20-30 age, we get Expected. 150 X 323. 48.45 1000 and also for news paper and 31-40 age, Expected - 300X32396.9 1000 Similarly, The expected eeu values for all cells are: Age of Respondent Individual's Preferred | 20-30 31-40 41-50 over 50 News source 96.9 Newspaper Rodiol TV Internet 48.45 61.2 | 40:35 | 96.9 122.4 80.7 122.4 80.75 102 67.25 80.7

X? Ž ž (Oij - eru) 2 El jal eij =(19-48.45), (62-96.9)2 (95-96.9) (147-8.75)? 48145 96.9 96.9 80.75 + (27-64-2)(125-122,4)? (168-122,4), (88-102)2 61.2 162.4 122.4 102 + 1104-00-35)? (13-807)? (37-807)? (15-67.25)2 + 40.35 80.7 80. 67.25 = 300.531 Since X=300.531>13:277, Lohich rejeet Null hypothesis · Therefore, Based on Sample data given, we conclude that * Age of the Individual and individual's Preferred source for news are not independent