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In: Statistics and Probability

In a test of the quality of two television commercials, each commercial was shown in a...

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 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.

Commercial A Commercial B
Number Who Saw Commercial 145 195
Number Who Recalled Message 61 57


  1. 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.
    H0: p1 - p2equal to 0
    Ha: p1 - p2not 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
  2. Compute a 95% confidence interval for the difference between the recall proportions for the two populations (to 4 decimals).
    (  ,   )

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