When there are more than two possibilities for one or more of our variables, we must use Chi-Squared.b) Perform a Chi-Squared test on the data below to determine whether a student's grade in Statistics isindependent of their eye color.eye colorbluegreen19brown14437gradeB2096031C2056233other1424117Ho:H1:X (Chi-Squared) =df =p-value =Reject Ho or Fail to reject HoConclusion (in a sentence or two):c) Perform a Chi-Squared test on the data below to determine whether a student’s grade in Statistics isindependent of the last math class they passed before taking Statistics.Last Math ClassCollege Algebra,Trig., or Precalc62IntermediateCalculusAlgebra78A60gradeВ11516421206886.other1018613Ho:H1:X (Chi-Squared) :df =p-value =Reject Ho or Fail to reject HoConclusion (in a sentence or two): For data that can be arranged in a 2 x 2 matrix, we can use Chi-Squared to test independence, or treat it as a comparison oftwo binomial probabilities from two populations. We only knew to use the two proportion t-test in Assignment 27.10. Wethen learned in the video that you were supposed to view before starting this assignment to perform a test for independenceusing chi-squared.This is the same data from Assignment 27.10. Perform a hypothesis test to determine, "Do we havestatistically significant evidence that gun ownership and views on the death penalty are independent?"Suppose we asked the (self described) head-of-household in 180 Alaska households two questions:"Does your family own a gun?" And "Do you believe criminals who commit first degree murdershould face The Death Penalty?"In our sample, 100 households owned a gun and 70them favored the death penalty.Of the remaining 80 households who did not own a gun, 44 favored the death penalty.The data are summarized in the table below.Owns a GunYesNoTotalFavors the DeathYes7044114Penalty for MurderersNo303666Total10080180a) Using the Chi-Squared Test for Independence. Can we conclude that gun ownership and deathpenalty views are NOT independent?Ho: View of Death Penalty is Independent of gun OwnershipH1: The factors are not IndependentX* (Chi-Squared) =df =p-value =Reject Ho or Fail to reject HoConclusion (in a sentence or two):Explain to someone who hasn't had a Statistics class what it means to say that thesefactors are (or are not) independent.Note: All tests (this one and the test from Assignment 27.10) should have the same p-value.The Chi-Squared value is the square of the z-score.

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Description: When there are more than two possibilities for one or more of our variables, we must use Chi-Squared.b) Perform a Chi-Squared test on the data below to determine whether a student's grade in Statistics isindependent of their eye color.eye colorblueg

Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question. a) The expected values are, Yes No Total Yes 114×100180=63.3333 114×80180=50.6667 114 No 66×100180=36.6667 66×80180=29.3333 66 Total 100 80 180 The Chi-squared test statistic is, χ2=Sum ofObserved-Expected2Expected=70-63.3333263.3333+44-50.6667250.6667+30-36.6667236.6667+36-29.3333229.3333=0.7018+0.8772+1.2121+1.5152=4.3063 Thus, the Chi-squared test statistic value is 4.3063. The degrees of freedom is, df=r-1c-1=2-12-1=1 Thus, the degrees of freedom is 1.Computation of p-value: The p-value of χ2-distribution for test statistic 4.3063 at 1 degrees of freedom can be obtained using the excel formula “=CHISQ.DIST.RT(4.3063,1)”. The p-value is 0.0380. Thus, the p-value is 0.0380. Decision rule: If p-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: Consider the level of significance as 0.05. The p-value (0.0380) is less than the level of significance (0.05). Based on decision rule, reject the null hypothesis. Thus, it can be concluded that the view of death penalty is not independent of gun Ownership.

Math

Statistics

The data are summarized in the table below. Owns a Gun Yes No Total Favors the Death Yes 70 44 114 Penalty for Murderers No 30 36 66 Total 100 80 180 a) Using the Chi-Squared Test for Independence. Can we conclude that gun ownership and death penalty views are NOT independent? Ho: View of Death Penalty is Independent of gun Ownership H1: The factors are not Independent

The data are summarized in the table below. Owns a Gun Yes No Total Favors the Death Yes 70 44 114 Penalty for Murderers No 30 36 66 Total 100 80 180 a) Using the Chi-Squared Test for Independence. Can we conclude that gun ownership and death penalty views are NOT independent? Ho: View of Death Penalty is Independent of gun Ownership H1: The factors are not Independent

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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