Question #189806

x=500,n=812,95% confidence


1
Expert's answer
2021-05-07T14:19:05-0400

p^=xn=500812=0.6158.\hat p=\frac{x}{n}=\frac{500}{812}=0.6158.

95%CI=(p^1.96p^(1p^)n,p^+1.96p^(1p^)n)=95\%CI=(\hat p-1.96\sqrt{\frac{\hat p(1-\hat p)}{n}}, \hat p+1.96\sqrt{\frac{\hat p(1-\hat p)}{n}})=

=(0.61581.960.6158(10.6158)812,0.6158+1.960.6158(10.6158)812)==(0.6158-1.96\sqrt{\frac{0.6158(1-0.6158)}{812}}, 0.6158+1.96\sqrt{\frac{0.6158(1-0.6158)}{812}})=

=(0.5823,0.6492).=(0.5823,0.6492).


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