Question

The following confidence interval is obtained for a population proportion, p: (0.707, 0.745). Use these confidence interval limits to find the margin of error, E.

Answer 1

To find the margin of error for the given confidence interval (0.707, 0.745), you simply subtract the lower limit from the upper limit and divide by 2, yielding a margin of error of 0.019.

Step-by-step explanation:

To find the margin of error, E, for the given confidence interval for a population proportion (p), you must consider that the interval is expressed in the form (p' - E, p' + E). The interval you have provided is (0.707, 0.745). To calculate E, you need to subtract the lower limit from the upper limit and then divide the result by 2.

Step-by-step calculation of Margin of Error

1. Subtract the lower confidence limit from the upper confidence limit (0.745 - 0.707 = 0.038).
2. Divide the result by 2 (0.038 / 2 = 0.019).

The margin of error, E, is therefore 0.019. This means that the true population proportion is estimated to be within 0.019 of the sample proportion (either higher or lower) with the given level of confidence.

Answer 2

When they give us all this data and asks us to find the margin of error we can use the next formula
margin of error = (0.745 - 0.707) / 2 = 0.019
There is your answer. I hope this helps you a lot