You may need to use the appropriate technology to answer this question.A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.Factor ALevel 1Level 2Level 113316312797Factor BLevel 2 Level 392681251037593120136.Test for any significant main effects and any interaction. Use a = 0.05.Find the value of the test statistic for factor A. (Round your answer to two decimal places.)Find the p-value for factor A. (Round your answer to three decimal places.)p-value=State your conclusion about factor A.Because the p-value sa = 0.05, factor A is significant.Because the p-value > a = 0.05, factor A is not significant.Because the p-value > a = 0.05, factor A is significant.Because the p-values a= 0.05, factor A is not significant.AFind the value of the test statistic for factor B. (Round your answer to two decimal places.)Find the p-value for factor B. (Round your answer to three decimal places.)p-value=State your conclusion about factor B.Because the n-value > a = 0.05. factor B is not significant. Find the value of the test statistic for factor B. (Round your answer to two decimal places.)Find the p-value for factor B. (Round your answer to three decimal places.)p-value =State your conclusion about factor B.Because the p-value > a = 0.05, factor B is not significant.Because the p-values a 0.05, factor B is significant.Because the p-value's a = 0.05, factor B is not significant.Because the p-value > a = 0.05, factor B is significant.Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)p-value=State your conclusion about the interaction between factors A and B.O Because the p-value> a = 0.05, the interaction between factors A and B is not significant.Because the p-values a 0.05, the interaction between factors A and B is not significant.Because the p-value> a= 0.05, the interaction between factors A and B is significant.Because the p-value sa = 0.05, the Interaction between factors A and B is significant.

The data shows the two levels of factor A and three levels of factor B.

Answered: You may need to use the appropriate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A student surveyed a random sample of 301 students in her large college and collected the data in the table below, on the variables class year and favorite team sport. Perform a chi-square test to determine if the variables class year and favorite team sport are independent. Basketball Soccer Baseball/Softball Other Total Freshman 12 41 11 1 65 Sophomore 12 43 17 7 79 Junior 10 44 10 11 75 Senior 10 49 18 5 82 Total 44 177 56 24 301 What is the test statistic for the chi-squared test? (round to 3 dp) . The p-value for this test is . (If p-value <0.001, enter 0, otherwise report to 4 dp) Select the appropriate conclusion for this test at a significance level of α=0.05.A. Reject H0H0. We have significant evidence that class year and team sports are not independent.B. Fail to reject H0H0. We do not have significant evidence that class year and team sports are not independent.
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