Assessing Statistical Independence in a Categorical Data SetAnswer A & B Question 1: Your friend Joanna is running for class president. You conduct a poll toassess Joanna's current level of support among students eligible to vote in the schoolelection. You collect a simple random sample of N = 400 students and ask the followingquestions:• Which candidate are you likely to support in the upcoming election?• How long have you been living in this school district?. Are you male or female?• What is your grade point average (GPA)?Among the 400 students polled, you find that 172 students (43%) support Joanna and228 students (57%) support a different candidate. 275 students (69%) have lived in theschool district for 5 years or more and 125 students (31%) moved to the school districtwithin the last five years. 183 students (46%) are male and 217 students (54%) arefemale. 148 students (37%) had a GPA greater than or equal to 3.5 and 252 students(63%) had a GPA less than 3.5.a) If the decision to vote for Joanna is statistically independent of the length of timeliving in the school district, fill in the expected cross-tabulation data table below.Live in School District > 5 yearsLive in School District < 5 yearsTotalConsider the observed cross-tabulation data table below.Live in School District > 5 yearsLive in School District < 5 yearsTotalSupport Joanna Support Another CandidateSAVANNAHmath labs172Support Joanna Support Another Candidate15512052172Lab Module 3 - Worksheet22873228Total275125400Total275125400Compute the statistic T = ₁ (Observed-Expected) for the cross-tabulated data above.Does the data indicate that the decision to vote for Joanna is statistically independentof the length of time living in the school district? b) If the decision to vote for Joanna is statistically independent of gender, fill in theexpected cross-tabulation data table below.Support Joanna Support Another CandidateMaleFemaleTotal172MaleFemaleTotalConsider the observed cross-tabulation data table below.228Support Joanna Support Another Candidate1071212287696172Total183217400Total183217400(Observed; - Expected;)² for the cross-tabulated data above.Compute the statistic T = ₁Expected;Does the data indicate that the decision to vote for Joanna is statistically independentof gender?

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Answered: a) If the decision to vote for Joanna…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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