Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence

A sample size of 2401 is needed.

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 given by:

95% confidence level

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

What sample size would be needed to construct a margin of error of 2% with 95% confidence?

This is M for which n = 0.02.

Supposing we have no estimate for the true proportion, we use .

A sample size of 2401 is needed.

you need to add a picture

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2