Suppose you want to investigate the proportion of women police officers. How large should a sample be if the margin of error is .05 for a 92% confidence interval

A sample of 307 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 zscore that has a pvalue of .

The margin of error is of:

In this question, we have that:

We dont know the true proportion of women police officers, so we use , which is when the largest sample size would be needed.

92% confidence level

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

How large should a sample be if the margin of error is .05 for a 92% confidence interval

We need a sample of n, and n is found when . So

Rounding up

A sample of 307 is needed.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.