In Summer 2016, I surveyed DS300 students for their selections of presidential c

Question

In Summer 2016, I surveyed DS300 students for their selections of presidential candidates. Of 39 students, 8 selected Hilary Clinton, and 6 selected Donald Trump. Based on the sample (assuming that the sample well represents young voters), we can estimate that

1.95% confidence interval of the percentage of young people selecting Hilary Clinton is from _ % to _ % (answer format: XX.X);

2.95% confidence interval of the percentage of young people selecting Donald Trump is from % to  % (answer format: XX.X);

3.Can you conclude that Hilary will win the election if only young people vote?  (answer format: "Yes" or "No").

Explanation / Answer

Sol:

sample proportion supporting Hilary=p^=success/total=8/39=0.205128

Z crit for 95%=1.96

95% confidence interval of the percentage of young people selecting Hilary Clinton is p^

p^-Zsqrt(p^(1-p^)/n,p^+Zsqrt(p^(1-p^)/n

0.205128-1.96*sqrt(0.205128(1-0.205128)/39,0.205128+1.96*sqrt(0.205128(1-0.205128)/39

0.0784,0.3319

0.0784*100,0.3319*100

7.8% to 33.2%

95% confidence interval of the percentage of young people selecting Hilary Clinton is from

7.8% to 33.2%

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