In: Math
10.4: Inferences About the Difference Between Two Population Proportions
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 | 155 | 204 |
Number Who Recalled Message | 64 | 63 |
Use and test the hypothesis that there is no difference in the recall proportions for the two commercials.
Formulate the null and the alternative hypotheses.
- Select your answer -greater than or equal to 0greater than 0less than or equal to 0less than 0equal to 0not equal to 0Item 1
- Select your answer -greater than or equal to 0greater than 0less than or equal to 0less than 0equal to 0not equal to 0Item 2
What is the value of the test statistic (to 2 decimals)?
What is the -value (to 4 decimals)?
Does there appear to be a difference in recall proportions for the two commercials?
- Select your answer -NoYesItem 5
Compute a confidence interval for the difference between the recall proportions for the two populations (to 4 decimals).
( , )
It appears that - Select your answer -Commercial ACommercial Bneither commercial item 8 has a better recall rate.
Use and test the hypothesis that there is no difference in the recall proportions for the two commercials.
Formulate the null and the alternative hypotheses.
- Select your answer -greater than or equal to 0greater than 0less than or equal to 0less than 0equal to 0not equal to 0
- Select your answer -greater than or equal to 0greater than 0less than or equal to 0less than 0equal to 0not equal to 0
What is the value of the test statistic (to 2 decimals)?
What is the -value (to 4 decimals)?
Does there appear to be a difference in recall proportions for the two commercials?
- Select your answer -NoYes
Compute 95 % a confidence interval for the difference between the recall proportions for the two populations (to 4 decimals).
( ______, ______)
It appears that - Select your answer -
Commercial A
Commercial B
neither Commercial
Commercial none