Question

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. Number Who Saw Commercial Number Who Recalled Message Commercial A 150 63 Commercial B 200 60 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 - p2 equal to 0 Ha: p1 - p2 not equal to 0 What is the value of the test statistic (to 2 decimals)? 2.33 What is the p-value (to 4 decimals)? 0.0204 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). (0.0187, 0.2213) It appears that Commercial A has a better recall rate.

          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.
Number Who Saw Commercial
Number Who Recalled Message
Commercial A
150
63
Commercial B
200
60
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 - p2 equal to 0
Ha: p1 - p2 not equal to 0
What is the value of the test statistic (to 2 decimals)?
2.33
What is the p-value (to 4 decimals)?
0.0204
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).
(0.0187, 0.2213)
It appears that Commercial A has a better recall rate.

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.
Number Who Saw Commercial
Number Who Recalled Message
Commercial A
150
63
Commercial B
200
60
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 - p2 equal to 0
Ha: p1 - p2 not equal to 0
What is the value of the test statistic (to 2 decimals)?
2.33
What is the p-value (to 4 decimals)?
0.0204
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).
(0.0187, 0.2213)
It appears that Commercial A has a better recall rate.

Added by Susan S.

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