Social Statistics ICA Assignment Coursework Example

Social Statistics ICA Assignment Student’s Name Institution Social Statistics ICA Assignment Question 1 Part A. Part B. Total Eligible voters =5,000 people Single Random sample =250 people Non responders=50, responders=200 Yes [leave]= 97, No [remain]= 103 UK leave EU 52 of voters, Remain 48 percent of Voters Proportion of p̂= 97 200 = 0.485 Estimated standard error (e.s.e) = p 1- p1-f√(n-1)N=5000, n=250, f=n/N=250/5000=0.05 = 0.485 1- 0.4851-0.05√(250-1)=0.03087095% confidence for p̂ is given by [p̂ - 1.96(e.s.e), p̂ + 1.96(e.s.e)] =[0.485 - 1.96(0.030870), 0.485 + 1.96(0.03070)] =[0.4244948, 0.5455052] For the respondents actually voted p̂ is the proportion of respondents who actually voted. N=5000, n=250, f=n/N=250/5000=0.05 136 respondents voted leave [YES] 114 NO p̂=136250=0.544estimated standard error (e.s.e) of p̂ is = 0.544 1- 0.5441-0.05250-1=0.03076495% confidence interval given as [p̂ - 1.96(e.s.e), p̂ + 1.96(e.s.e)] =[0.544 - 1.96(0.030764), 0.544 + 1.96(0.030764)] [0.48370256, 0.60429744] Part C. The confidence interval range of the proportion of respondents who actually voted leave (non-responders included) is larger than the confidence interval range of the proportion of respondents who strictly responded leave (non-responders excluded). Most of the non-responders as indicated in the survey actually voted leave at the end. The confidence interval range of the true proportion who voted leave [0.4244948, 0.5455052] indicates the voting situation will be above 40%, but below 52%. This C.I range is close to the real situation where 52% of voters wanted UK to leave EU in the final results. Part D Proportion of non-respondents amongst those who actually voted to leave p=50136=0.367647Proportion of non-respondents amongst those who actually voted to leavep=50114=0.438596H0: N.A is independent of an individual's actual vote. H1: N.A is not independent of an individual's actual vote. 5% significance level 95...