12.44 In the General Social Survey, an ongoing nationwide sur- vey done by the N

Question

12.44 In the General Social Survey, an ongoing nationwide sur- vey done by the National opinion Research Center at the University of Chicago, a question asked is whether a re- spondent favors or opposes capital punishment (the death penalty for persons convicted of murder. The output for this exercise compares the proportions who said they were opposed to the death penalty in the year 2000 and the year 1993 ources. GSS93 dataset for this text and N Sample p Sample 0.312 801 2565 2000 0.226 337 1488 1993 Estimate for p(1) p(2): 0.086 0.114) 95% CI for p (1) p(2): (0.058,

Explanation / Answer

a) proportion for the year 2000 ; p1=0.312

proportion for year 1993 : p2 =0.226

b)extimated difference =0.086

c)confidence interval =(0.058 ; 0.114)

above inteval provides 95% probability to contain true differnce of population proportion of people opposing death penaly in year 2000 and 1993

d)confidence interval =estimated differnce -/+ z*std error where z=1.96 for 95% CI

and std error =(p1(1-p1)/n1+p2(1-p2)/n2)1/2

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