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12. In a test of the quality of two television commercials, each commercial was shown In a separate test area six times over a one-week

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12. In a test of the quality of two television commercials, each commercial was shown In a separate test area six times over a one-week period. The 13 following week a telephone survey was conducted to identify Individuals who had seen the commercials. Those individuals were asked to state the 14 primary message in the commercials. The following results were recorded. Commercial A Commercial B A-Z Number Who Saw Commercial 148 203 Number Who Recalled Message 62 62 Use a = .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 : P1 - P2 equal to 0 Ha : P1 - P2 not equal to 0 What is the value of the test statistic (to 2 decimals)? What is the p-value (to 4 decimals)? Does there appear to be a difference In recall proportions for the two commercials? Yes Compute a 95% confidence interval for the difference between the recall proportions for the two populations (to 4 decimals) It appears that Commercial A has a better recall rate

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