Suppose we take a survey and use the sample proportion to calculate a confidence interval. Which level of confidence gives the confidence interval with the largest margin of error? 90%, 95%, or 99%? Group of answer choices 99% 90% 95% It is impossible to tell which interval will have the largest margin of error.

99%

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 zscore that has a pvalue of .

The margin of error is:

Sample proportion and same sample size, so what will determine the margin of error is z.

90% confidence level

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

95% confidence level

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

99% confidence level

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

The 99% confidence interval has the largest margin of error.