A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without. When estimating the proportion of all Americans who would prefer a car with a sunroof over one without with 99% confidence, what is the margin of error

The margin of error is of 0.1282 = 12.82%.

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 .

The margin of error is of:

A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without.

This means that

99% confidence level

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

What is the margin of error?

The margin of error is of 0.1282 = 12.82%.

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step-by-step explanation: