13. The accompanying table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of a large reputable study. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significancelevel. What do you conclude?First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below.O A. Ho: Distances between pupils are affected by an interaction between gender and handedness.H,: Distances between pupils are not affected by an interaction between gender and handedness.Data and Two-Way ANOVA Results: Distances between pupils are not affected by handedness.В. НоH,: Distances between pupils are affected by handedness.O C. Ho: Distances between pupils are not affected by gender.Right-HandedLeft-HandedFemale65 64 59 60 5771 63 62 69 63H4: Distances between pupils are affected by gender.Male65 62 68 70 6968 68 63 66 65O D. Ho: Distances between pupils are not affected by an interaction between gender and handedness.Source:DF:S:MS:Test Stat, F:Critical F:P-Value:H,: Distances between pupils are affected by an interaction between gender and handedness.Interaction:136.4536.453.351724.494010.08582Row Variable:148.0548.054.418394.494010.05174Determine the test statistic.Column Variable:118.0518.051.659774.494010.21595The test statistic is(Round to two decimal places as needed.)Determine the P-value.PrintDoneThe P-value is(Round to three decimal places as needed.)Determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.O A. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.B. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.C. Reject Ho: There is sufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.D. Reject Ho: There is sufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness. IT appropriate, test for an effect from tne row factor. Choose ine correct answer pelow.A. Ho: Men and women have the same population mean distance between pupils.H,: Men and women have different population mean distances between pupils.B. Ho: Left-handed people and right-handed people have different population mean distances between pupils.H4: Left-handed people and right-handed people have the same population mean distance between pupils.C. Ho: Left-handed people and right-handed people have the same population mean distance between pupils.H1: Left-handed people and right-handed people have different population mean distances between pupils.O D. Ho: Men and women have different population mean distances between pupils.H,: Men and women have the same population mean distance between pupils.E. This test is not appropriate due to the results of the test for interaction between the two factors.If appropriate, determine the test statistic. Select the correct choice below and, if necessary, fill in the answer box within your choice.A. The test statistic is.(Round to two decimal places as needed.)B. This test is not appropriate due to the results of the test for interaction between the two factors.If appropriate, determine the P-value. Select the correct choice below and, if necessary, fill in the answer box within your choice.O A. The P-value is.(Round to three decimal places as needed.)B. This test is not appropriate due to the results of the test for interaction between the two factors.If appropriate, determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.O A. Fail to reject Ho. There is insufficient evidence to support the alternative hypothesis. Handedness does not appear to have an effect on distance between pupils.B. Reject Ho. There is sufficient evidence to support the alternative hypothesis. Gender appears to have an effect on distance between pupils.

Question

Accepted Answer

Solution: 
Here We are testing the hypothesis that the  interaction factor and row factor.