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 150 200 Number Who Recalled Message 63 60 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. Но : рі — р2 | еqual to 0 На : Рі — р2 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)? 0.0198

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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
150
200
Number Who Recalled Message
63
60
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.
Но : рі — р2 | еqual to 0
На : Рі — р2
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)?
0.0198
Transcribed Image Text: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 150 200 Number Who Recalled Message 63 60 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. Но : рі — р2 | еqual to 0 На : Рі — р2 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)? 0.0198
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