question archive In a sample of 100 students, 85 of them said that they find Statistics to be extremely invigorating
In a sample of 100 students, 85 of them said that they find Statistics to be extremely invigorating
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In a sample of 100 students, 85 of them said that they find Statistics to be extremely invigorating. If we wish to calculate the confidence interval of the percent of student body who feels that statistics is extremely invigorating, what would our ???????? be?
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If ps is the sample proportion of people who find Statistics to be extremely invigorating.
ps = 85/100 = 0.85
n=100
Standard error= √{p(1-p)/n}
= √{0.85(1-0.85)/100}
=√0.00031875
=0.0178535711
Z0.95 = 1.96
Margin of error = Z0.95*SE
= 1.96*0.0178535711
=0.0349929992999
~0.035
Confidence interval = ps± margin of error
= 0.85±0.035
= (0.815,0.885)
