15. A survey of 852 voters in one state reveals that 478 favor approval of an issue before the legislature. Construct the 95 % confidence interval for the true proportion of all voters in the state who favor approval. (10 poinți)

Question

Accepted Answer

Step:1 ：Calculate the sample proportion, ( hat{p} = frac{478}{852} )Step:2 ：Find the z-score for a 95% confidence level, which is approximately 1.96Step:3 ：Calculate the standard error, ( text{SE} = sqrt{frac{hat{p}(1-hat{p})}{n}} )Step:4 ：Construct the confidence interval, ( text{CI} = hat{p} pm z times text{SE} )Step:5 ：Calculate the lower bound of the confidence interval, ( text{LB} = hat{p} - z times text{SE} )Step:6 ：Calculate the upper bound of the confidence interval, ( text{UB} = hat{p} + z times text{SE} )Step:7 ：( boxed{(0.5277, 0.5944)} )

Answer

Step: 1 ：Calculate the sample proportion, ( hat{p} = frac{478}{852} )Step: 2 ：Find the z-score for a 95% confidence level, which is approximately 1.96Step: 3 ：Calculate the standard error, ( text{SE} = sqrt{frac{hat{p}(1-hat{p})}{n}} )Step: 4 ：Construct the confidence interval, ( text{CI} = hat{p} pm z times text{SE} )Step: 5 ：Calculate the lower bound of the confidence interval, ( text{LB} = hat{p} - z times text{SE} )Step: 6 ：Calculate the upper bound of the confidence interval, ( text{UB} = hat{p} + z times text{SE} )Step: 7 ：( boxed{(0.5277, 0.5944)} )

15. A survey of 852 voters in one state reveals that 478 favor approval of an issue before the legislature. Construct the $95 %$ confidence interval for the true proportion of all voters in the state who favor approval. (10 poinți)

Answer

Popular Problems

15. A survey of 852 voters in one state reveals that 478 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. (10 poinți)

Answer

Popular Problems

15. A survey of 852 voters in one state reveals that 478 favor approval of an issue before the legislature. Construct the $95 %$ confidence interval for the true proportion of all voters in the state who favor approval. (10 poinți)