You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case.
Find the critical value that corresponds to a confidence level of 95%.
(Report answer accurate to three decimal places with appropriate rounding.)
To find the critical value that corresponds to a confidence level of 95%, we need to determine the z-score.
A 95% confidence level corresponds to an alpha value of 0.05. Since we are working with a normal distribution, we need to find the z-score that corresponds to an area of 0.05 in the upper tail.
Using a standard normal distribution table or a calculator, we find that the z-score that corresponds to an area of 0.05 in the upper tail is approximately 1.96.
Therefore, the critical value that corresponds to a confidence level of 95% is 1.96.