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10.4: Inferences About the Difference Between Two Population Proportions In a test of the quality of...

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


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