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 |
- 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
- Compute a 95% confidence interval for the difference between
the recall proportions for the two populations (to 4
decimals).
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