If n=600 and \widehat{p}=0.95, construct a 95% confidence interval.

UkusakazaL

UkusakazaL

Answered question

2021-08-03

If n=600 and p^=0.95, construct a 95% confidence interval.
Give your answer to three decimals.
<p<

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-17Added 163 answers

Given that:
n=600,p^=0.95
The critical value for α=0.05 is zc=z1α2=1.96
CI(Proportion)=(p^zcp^(1p^)np^+zcp^(1p^)n)
=(0.951.96×0.95(10.95)600,0.95+1.96×0.95(10.95)600)
=(0.933,0.967)
Therefore, the 95% CI for the population proportion is
0.933<p<0.967

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