Question

How can i find the margin of sampling error?
P=16%, n=1000

Answer 1

I dont understand how im able to find it ive tried \[\sqrt{p(p-1)/n}\] but i never get any of the choices

Answer 2

You need to be given the critical value of z for a specific confidence level. Is a value of confidence percentage stated in the question. Perhaps you should post the complete question

Answer 3

The whole question is
"Find the margin of sampling error to the nearest percent."
P=16%, n=1000

Answer 4

The formula that you have used is for the standard error, and is not for the margin of error.

Answer 5

Did you attempt to evaluate that expression on a calculator? If so, try putting down the expression onto paper and doing the work on paper as a check.

I would write
\[\sqrt{p(p-1)/n}~as~\sqrt{\frac{ p(1-p) }{ n }}\]

Answer 6

Note how you have p-1 and I have 1-p? That alone may explain why none of your answers have been correct.

Answer 7

The margin of error is the product of the critical z-value and the standard error.\[\large Margin\ of\ Error=z _{c}\sqrt{\frac{p(1-p)}{n}}\]
where zc is the critical value of z.

Answer 8

Ok so i need to find the z value before i can find the margin of error?

Answer 9

You can find the critical value of z when you know the required confidence level. This must be known. Perhaps your question is part of a larger question?

Answer 10

I wrote everything it gave me I'm not really sure.

Answer 11

Well it is not possible to answer this question unless the required confidence level is known.

Answer 12

oh ok ill talk to my teacher about it tomorrow. Thanks for the help anyway though guys.

Answer 13

For a 95% confidence level, the answer would be 0.0227 (or 2.27%)

Answer 14

What are the answer choices?

Answer 15

A. 2% B. 4% C. .016% D. .04%

Answer 16

If the confidence level was 90%, the margin of error is 1.9%.

Answer 17

Choices C and D are unrealistic. The most likely choice is A.

Answer 18

Good idea to look up "z critical value" and learn what it represents and how to find its specific value for a given level of confidence. \[z _{c}=1.96 \]

Answer 19

applies for the 95% level of confidence, 1.645 for the 90% level, and so on. These are often shown in tables of z-scores, and can be found easily on a TI-83 or -84 calculator, once you've done this a few times.

Answer 20

I did a quick lookup of "z critical value." Here are the outcomes:

https://www.google.com/search?sourceid=chrome-psyapi2&ion=1&espv=2&ie=UTF-8&q=z%20critical%20value&oq=z%20critical%20value&aqs=chrome..69i57j0l5.3457j0j7