In a study, a random sample of 20 adults rated the effectiveness of advertisements. Each adult rated an advertisement that lasted 30 or 60 seconds. The block design in the accompanying table shows these ratings (on a scale of 1 to 5, with 5 being extremely effective). Use a=0.10 and a technology design to perform a two-way ANOVA test. E Click the icon to view the block design and ratings. Determine the null and alternative hypotheses for the main effects. Select all that apply. OA. Hg: The length of the ad has no effect on the advertising medium. OB. Hg: The advertising medium has no effect on the rating H: The advertising medium has an effect on the rating. H: The length of the ad has an effect on the advertising medium.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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In a study, a random sample of 20 adults rated the effectiveness of advertisements. Each adult rated an advertisement that lasted 30 or 60 seconds. The block design in the accompanying table shows these ratings (on a scale of 1 to 5, with 5 being extremely effective). Use a = 0.10 and a technology tool and the given block
design to perform a two-way ANOVA test.
E Click the icon to view the block design and ratings.
Determine the null and alternative hypotheses for the main effects. Select all that apply.
O A. Ho: The length of the ad has no effect on the advertising medium.
O B. Ho: The advertising medium has no effect on the rating.
Ha: The length of the ad has an effect on the advertising medium.
Hạ: The advertising medium has an effect on the rating.
O C. Ho: The advertising medium has no effect on the length of the ad.
O D. Ho: The length of the ad has no effect on the rating.
Ha: The advertising medium has an effect on the length of the ad.
Hạ: The length of the ad has an effect on the rating.
O E. H: The rating has no effect on the advertising medium.
O F. Ho: The rating has no effect on the length of the ad.
Ha: The rating has an effect on the advertising medium.
Hạ: The rating has an effect on the length of the ad.
Determine the null and alternative hypothesis for the interaction effect. Choose the correct answer below.
O A. Ho: There is no interaction effect between rating and length of the ad on the advertising medium.
O B. Ho: There is no interaction effect between advertising medium and rating on the length of the ad.
O C. Ho: There is no interaction effect between advertising medium and length of the ad on the rating.
Ha: There is an interaction effect between rating and length of the ad on the advertising medium.
Ha: There is an interaction effect between advertising medium and rating on the length of the ad.
Ha: There is an interaction effect between advertising medium and length of the ad on the rating.
Determine the test statistics for the main effects. Select the correct choice below, and, if necessary, fill in any answer boxes to complete your choice.
(Round to two decimal places as needed.)
O A. The test statistic for the main effect of advertising medium on the length of the ad is
The test statistic for the main effect of length of the ad on the advertising medium is
Data table
O B. The test statistic for the main effect of rating on the advertising medium is
The test statistic for the main effect of rating on the length of the ad is
O C. The test statistic for the main effect of advertising medium on the rating is
Advertising medium
Radio
Length
Television
The test statistic for the main effect of length of the ad on the rating is
3, 2, 1, 2, 3
5, 4, 3, 2, 3
3, 1, 4, 5, 2
30 sec
60 sec
2, 4, 3, 5, 3
Determine the test statistic for the interaction effect.
F=
(Round to two decimal places as needed.)
Print
Done
Determine the P-value for the main effects. Select the correct choice below, and, if necessary, fill in any answer boxes to complete your choice.
(Round to three decimal places as needed.)
O A. The P-value for the main effect of advertising medium on the length of the ad is
The P-value for the main effect of length of the ad on the advertising medium is
Transcribed Image Text:In a study, a random sample of 20 adults rated the effectiveness of advertisements. Each adult rated an advertisement that lasted 30 or 60 seconds. The block design in the accompanying table shows these ratings (on a scale of 1 to 5, with 5 being extremely effective). Use a = 0.10 and a technology tool and the given block design to perform a two-way ANOVA test. E Click the icon to view the block design and ratings. Determine the null and alternative hypotheses for the main effects. Select all that apply. O A. Ho: The length of the ad has no effect on the advertising medium. O B. Ho: The advertising medium has no effect on the rating. Ha: The length of the ad has an effect on the advertising medium. Hạ: The advertising medium has an effect on the rating. O C. Ho: The advertising medium has no effect on the length of the ad. O D. Ho: The length of the ad has no effect on the rating. Ha: The advertising medium has an effect on the length of the ad. Hạ: The length of the ad has an effect on the rating. O E. H: The rating has no effect on the advertising medium. O F. Ho: The rating has no effect on the length of the ad. Ha: The rating has an effect on the advertising medium. Hạ: The rating has an effect on the length of the ad. Determine the null and alternative hypothesis for the interaction effect. Choose the correct answer below. O A. Ho: There is no interaction effect between rating and length of the ad on the advertising medium. O B. Ho: There is no interaction effect between advertising medium and rating on the length of the ad. O C. Ho: There is no interaction effect between advertising medium and length of the ad on the rating. Ha: There is an interaction effect between rating and length of the ad on the advertising medium. Ha: There is an interaction effect between advertising medium and rating on the length of the ad. Ha: There is an interaction effect between advertising medium and length of the ad on the rating. Determine the test statistics for the main effects. Select the correct choice below, and, if necessary, fill in any answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The test statistic for the main effect of advertising medium on the length of the ad is The test statistic for the main effect of length of the ad on the advertising medium is Data table O B. The test statistic for the main effect of rating on the advertising medium is The test statistic for the main effect of rating on the length of the ad is O C. The test statistic for the main effect of advertising medium on the rating is Advertising medium Radio Length Television The test statistic for the main effect of length of the ad on the rating is 3, 2, 1, 2, 3 5, 4, 3, 2, 3 3, 1, 4, 5, 2 30 sec 60 sec 2, 4, 3, 5, 3 Determine the test statistic for the interaction effect. F= (Round to two decimal places as needed.) Print Done Determine the P-value for the main effects. Select the correct choice below, and, if necessary, fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) O A. The P-value for the main effect of advertising medium on the length of the ad is The P-value for the main effect of length of the ad on the advertising medium is
In a study, a random sample of 20 adults rated the effectiveness of advertisements. Each adult rated an advertisement that lasted 30 or 60 seconds. The block design in the accompanying table shows these ratings (on a scale of 1 to 5, with 5 being extremely effective). Use a = 0.10 and a technology tool and the given block
design to perform a two-way ANOVA test.
E Click the icon to view the block design and ratings.
The P-value for the main effect of length of the ad on the advertising medium is
- X
O B. The P-value for the main effect of advertising medium on the rating is.
Data table
The P-value for the main effect of length of the ad on the rating is
O C. The P-value for the main effect of rating on the advertising medium is
Advertising medium
Radio
3, 2, 1, 2, 3
5, 4, 3, 2, 3
The P-value for the main effect of rating on the length of the ad is
Length
Television
30 sec
3, 1, 4, 5, 2
60 sec
2, 4, 3, 5, 3
Determine the p-value for the interaction effect.
P= (Round to three decimal places as needed.)
State the conclusion.
Print
Done
Choose the correct answer below.
O A. Reject all null hypotheses.
O B. Fail to reject all null hypotheses.
OC. Reject the null hypothesis for the interaction effect only.
O D. Reject the null hypothesis for one of the main effects only.
Interpret the results for the main effects. Select all that apply.
O A. The length of the ad has no effect on the advertising medium.
OB.
The advertising medium has no effect on the rating.
O C. The rating has no effect on the advertising medium.
O D. The rating has an effect on the length of the ad.
O E. The length of the ad has an effect on the rating.
O F. The length of the ad has no effect on the rating.
O G. The rating has an effect on the advertising medium.
O H. The length of the ad has an effect on the advertising medium.
O 1. The rating has no effect on the length of the ad.
O J. The advertising medium has an effect on the rating.
O K. The advertising medium has an effect on the length of the ad.
O L. The advertising medium has no effect on the length of the ad.
Interpret the results for the interaction effect.
O A. The interaction between advertising medium and the length of the ad has an effect on the rating.
O B. The interaction between rating and the length of the ad has an effect on the advertising medium.
O C. The interaction between advertising medium and rating has an effect on the length of the ad.
O D. The interaction between advertising medium and the length of the ad has no effect on the rating.
O E. The interaction between rating and the length of the ad has no effect on the advertising medium.
O F. The interaction between advertising medium and rating has no effect on the length of the ad.
Transcribed Image Text:In a study, a random sample of 20 adults rated the effectiveness of advertisements. Each adult rated an advertisement that lasted 30 or 60 seconds. The block design in the accompanying table shows these ratings (on a scale of 1 to 5, with 5 being extremely effective). Use a = 0.10 and a technology tool and the given block design to perform a two-way ANOVA test. E Click the icon to view the block design and ratings. The P-value for the main effect of length of the ad on the advertising medium is - X O B. The P-value for the main effect of advertising medium on the rating is. Data table The P-value for the main effect of length of the ad on the rating is O C. The P-value for the main effect of rating on the advertising medium is Advertising medium Radio 3, 2, 1, 2, 3 5, 4, 3, 2, 3 The P-value for the main effect of rating on the length of the ad is Length Television 30 sec 3, 1, 4, 5, 2 60 sec 2, 4, 3, 5, 3 Determine the p-value for the interaction effect. P= (Round to three decimal places as needed.) State the conclusion. Print Done Choose the correct answer below. O A. Reject all null hypotheses. O B. Fail to reject all null hypotheses. OC. Reject the null hypothesis for the interaction effect only. O D. Reject the null hypothesis for one of the main effects only. Interpret the results for the main effects. Select all that apply. O A. The length of the ad has no effect on the advertising medium. OB. The advertising medium has no effect on the rating. O C. The rating has no effect on the advertising medium. O D. The rating has an effect on the length of the ad. O E. The length of the ad has an effect on the rating. O F. The length of the ad has no effect on the rating. O G. The rating has an effect on the advertising medium. O H. The length of the ad has an effect on the advertising medium. O 1. The rating has no effect on the length of the ad. O J. The advertising medium has an effect on the rating. O K. The advertising medium has an effect on the length of the ad. O L. The advertising medium has no effect on the length of the ad. Interpret the results for the interaction effect. O A. The interaction between advertising medium and the length of the ad has an effect on the rating. O B. The interaction between rating and the length of the ad has an effect on the advertising medium. O C. The interaction between advertising medium and rating has an effect on the length of the ad. O D. The interaction between advertising medium and the length of the ad has no effect on the rating. O E. The interaction between rating and the length of the ad has no effect on the advertising medium. O F. The interaction between advertising medium and rating has no effect on the length of the ad.
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