The Federal Bureau of Labor Statistics surveyed 50,000 and found the unemployment rate to be 5.8%. The margin of error was 0.2%. Construct a confidence interval for the unemployment rate.

The confidence interval for the unemployment rate is (0.056, 0.06) = (5.6%, 6%).

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:

The lower bound of the interval is:

The upper bound of the interval is:

In this problem, we have that:

So

The confidence interval for the unemployment rate is (0.056, 0.06) = (5.6%, 6%).

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step-by-step explanation: lol