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For a confidence level of 92%, find the critical value Question 5. Points possible: 1 This is attempt of
Out of 500 people sampled, 280 had kids. Based on this, construct a 99% confidence interval for the true population proportio

In a recent poll, 410 people were asked if they liked dogs, and 47% said they did. Find the margin of error of this poll, at
Assume that a sample is used to estimate a population proportion p. Find the 99.9% confidence interval for a sample of size 1
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5).for 92% confidence interval the critical value is = \mathbf{\pm1.751}

[ in any blank cell of excel type =NORMSINV(0.96) ]

6).z critical value for 99% confidence level, both tailed test be:-

z^*=2.576

sample proportion (\hat{p}) = 280/500 = 0.56

sample size (n) = 500

the 99% confidence interval be:-

p(1-P) =P **

10.56(1-0.56) = 0.56 +2.576 + 500

\approx(\mathbf{0.503,0.617})

7).z critical value for 90% confidence level, both tailed test be:-

z^*=1.645

sample proportion (\hat{p}) = 0.47

sample size (n) = 410

the margin of error at 95% confidence level be:-

= z^**\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

= 1.645*\sqrt{\frac{0.47(1-0.47)}{410}}

\approx\mathbf{0.041}

6).z critical value for 99.9% confidence level, both tailed test be:-

z^*=3.291

sample proportion (\hat{p}) = 0.419

sample size (n) = 117

the 99.9% confidence interval be:-

p(1-P) =P **

=0.419\pm 3.291*\sqrt{\frac{0.419(1-0.419)}{117}}

\approx(\mathbf{0.269,0.569})

***in case of doubt, comment below. And if u liked the solution, please like.

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