Question

Chapter TU Assignment 13, In a test of the quality of two television commercials, each commercial was shown in a separate testarea six times over a one week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded 14. Commercial A Commercial B Number Who Saw Commercial 203 Number Who Recalled Message 62 Use .05 and test the hypothesis that there is no difference in the recall proportions for the two commercials Formulate the null and the alternative hypotheses. HO:21 - p2 equal to o H P1-P not equal to o What is the value of the test statistic (to 2 decimals) 0.05 What is the p-value (to 4 decimals)? 0.0139 Does there appear to be a difference in recall proportions for the two commercials? Compute a 95% confidence interval for the difference between the recall proportions for the two populations (to 4 decimals). 0.258 0.2310 It appears that Commercial A has a better recall rate

Answer 1

PageNo Answers The mall and alternate Hypothelia. Ho : Po-Pq = 0 Hii pia Pato leşt &tatistic iş Z CR ) ~ N(0,1) J8Cv-) { font thing { t + 1/4 ? approximately under to use Prand P2 = Sample propositions 8 = niêtnah nitha Given that n,=148 and na=203 = 0.4189 148 62 203 . 0. 3054 P = 0.3533 HP = 0.6467

geng Pages stastic z- (0.4189 - 0-3054) The value of test 0:3533* 0-6467 S The value of test statiatic = 12.20 Pvalue = QP[2>2.201 = 2(0.013903) = 0.027806 Pyalue 0.0248 Where 0 =0.05 If p value ao. then he reject Ho 0.0278 <0.0s. Pvalue ao. po we reject Ho. There appears iş be a difference in recall proport- ions for the two commercials Answer: Yes

Pageno Margin of Error = E= 20 - TÁCr-h), 8 (1-) vni 100 x(1-0)y confidence internal is ce - Pl]-£, CÉ - POD +€. Y ity 0.4189x0.5811 0.3054 x0.6946 U 148 203 = 0.101651 Å - 8² = 0.1135 loccer limet - C-PM)-E = 0.1135 -0.101651 = 0.011849 =0.0118 upper limit = Co - P) + A = 0:1135 + 0.101651 = 0.215151 = 0.2152. 954. contidence interval is cro.0118o. a1s96

Page No commercial A, R = 0.4189 Commasicial B - b 304 It appears that commercial al for a better recall rate