In a study, a random sample of 20 adults rated the effectiveness of advertisemen

Question

In a study, a random sample of 20 adults rated the effectiveness of advertisements. Each adult rated an 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 -0.05 and a technology tool and the given block design to perform a two-way ANOVA test Click the icon to view the block design and ratings. Determine the null and alternative hypotheses for the main effects. Select all that apply. CA Ho: The advertising medium has no effect on B. Ho: The rating has no effect on the advertising 11 di the length of the ad. Ha: The advertising medium has an effect on the length of the ad. Ho: The length of the ad has no effect on the rating Ha: The length of the ad has an effect on the rating. medium. Ha- The rating has an effect on the advertising medium. C. D. Ho: The length of the ad has no effect on the advertising medium. Ha: The length of the ad has an effect on the advertising medium. E. Ho: The advertising medium has no effect on F. Ho:The rating has no effect on the length of the rating. Ha: The advertising medium has an effect on the rating. the ad. Ha: 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 ?A. Ho. There is no interaction effect between advertising ? B. Ho. There is no interaction O c. Ho: There is no interaction effect between advertising effect between rating and

Explanation / Answer

Block Design of the experiment

The two-way analysis of variance is an extension to the one-way analysis of variance. There are two independent variables (hence the name two-way).

There are two factors being studied - Advertisement medium and Length of the advertisement.

A) Null and Alternate Hypothesis of main effects:

C. H0: The length of the ad has no effect on the rating

Ha: The length of the ad has an effect on the rating

E. H0: The advertisement medium of the ad has no effect on the rating

Ha: The advertisement medium of the ad has an effect on the rating

B) Null and Alternate Hypothesis of interaction:

A. H0: There is no interaction effect between advertisement medium and length of the ad on the rating.

Ha: There is an interaction effect between advertisement medium and length of the ad on the rating.

C) I have used EXCEL to compute 2 way ANOVA

EXCEL >DATA>DATA ANALYSIS> Two way ANOVA with replication >

Input: All date points

Rows per sample: 5

alpha = 0.05

Ok

C. The test statistic for the main effect of advertisement medium on the rating is = 1.55

The test statistic for the main effect of length of the ad on the rating is = 2.57

Determine the test statistic for the interaction effect F = 0.03

C. The p-value for the main effect of advertisement medium on the rating is = 0.13

The p-value for the main effect of length of the ad on the rating is = 0.23

Determine the p-value for the interaction effect = 0.86

B. Reject all null hypothesis as F<F critical and p is more than 0.05

Interpret the result of the main effects

A. The advertisement medium of the ad has no effect on the rating

C. The length of the ad has no effect on the rating

Interpret the result of the interaction effects

A. The interaction between advertisement medium and length of the ad has no effect on the rating.

Length Advertising medium Radio TV 30 sec 2 2 1 3 4 4 1 3 2 1 60 sec 1 4 3 5 5 2 3 3 2 4

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