5 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 blockdesign 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 isThe test statistic for the main effect of length of the ad on the advertising medium isData tableO B. The test statistic for the main effect of rating on the advertising medium isThe test statistic for the main effect of rating on the length of the ad isO C. The test statistic for the main effect of advertising medium on the rating isAdvertising mediumRadioLengthTelevisionThe test statistic for the main effect of length of the ad on the rating is3, 2, 1, 2, 35, 4, 3, 2, 33, 1, 4, 5, 230 sec60 sec2, 4, 3, 5, 3Determine the test statistic for the interaction effect.F=(Round to two decimal places as needed.)PrintDoneDetermine 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 isThe 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 blockdesign 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- XO B. The P-value for the main effect of advertising medium on the rating is.Data tableThe P-value for the main effect of length of the ad on the rating isO C. The P-value for the main effect of rating on the advertising medium isAdvertising mediumRadio3, 2, 1, 2, 35, 4, 3, 2, 3The P-value for the main effect of rating on the length of the ad isLengthTelevision30 sec3, 1, 4, 5, 260 sec2, 4, 3, 5, 3Determine the p-value for the interaction effect.P= (Round to three decimal places as needed.)State the conclusion.PrintDoneChoose 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.

Given information: The data represents the ratings of 20 randomly selected adults on effectiveness of advertisements.Determine the null and alternative hypotheses for the main effects: Test hypotheses for the main effect Advertising medium: Null hypothesis: H01: The advertising medium has no effect on rating. Alternative hypothesis: H11: The advertising medium has an effect on rating. Test hypotheses for the main effect Advertising medium: Null hypothesis: H02: The length of the ad has no effect on rating. Alternative hypothesis: H12: The length of the ad has an effect on rating.Determine the null and alternative hypotheses for interaction effect: Test hypotheses for the main effect Advertising medium: Null hypothesis: H03: There is no interaction effect between advertising medium and length of the ad on the rating. Alternative hypothesis: H13: There is an interaction effect between advertising medium and length of the ad on the rating.Determine the test statistics for the main effects: Now, a two-way ANOVA is the most suitable for the given scenario. The test is conducted here by using EXCEL. Software procedure: The step-by-step procedure to conduct the ANOVA test is given below: Enter the data in an EXCEL sheet. Select Data > Data Analysis > ANOVA: Two factor with replications > OK. In Input Range enter $A$1:$C$11. In Rows per sample enter Enter Alpha as 0.05 and click OK. The output using EXCEL is as follows: The test statistic for the main effect of advertising medium on the rating is 0.55. The test statistic for the main effect of length of the ad on the rating is 2.21.

Math

Statistics

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.