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. While it is an uncommon confidence level, find the critical value that corresponds to a confidence level of 97.1%.

The critical value that corresponds to a confidence level of 97.1% is .

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the z-score that has a p-value of .

97.1% confidence level

So , z is the value of Z that has a p-value of , so .

The critical value that corresponds to a confidence level of 97.1% is .