11. Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 99% confidence; n = 6500, x = 1950 0.0128 0.0146 0.0083 0.011
@kirbykirby
someone told me this one is D is that true
this is a test right if it is please try figuring out on your own if not I can help
did i say it was?
Hm well The margin of error is the part we saw before that's after the \(\pm\), so \[z\cdot \sqrt{\frac{p(1-p)}{n}}\]. And well for a 99% confidence level, z=2.58
I didn't say u did did I I was asking u if it is a test !!!!!!!!!!!!!!!!!!!!!!
its not
what p
I said I didn't say it was a test did I
can u type the numbers where they are supposed to be then I"ll solve it
um well \(p=\dfrac{x}{n}\) and \(z=2.58\) which is the z-score
ok i see one sec
wat number is p?
\(p=\dfrac{x}{n}\), they give you x=1950, and n = 6500 :)
then wat goes in for P?
ok I got 0.0146
that's what I got too
12. Provide an appropriate response. Samples of size n = 900 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the proportion of numbers ≥ 5 is found for each sample. What is the distribution of the sample proportions? skewed to the right skewed to the left not enough information provided normal (approximately)
\[\ge5\]
usually these are normal
yes it should be approx normal
13. Solve the problem. 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. 0.017 0.020 0.038 0.019
So I explain the margin of error previously and you know the formula for the confidence interval. So.. you can represent the confidence interval as \(C.I = p\pm E\)
The lower limit of the confidence interval would be \(p - E\) the upper limit would be \(p+E\) So: \(0.707=p-E\) \(0.745=p+E\)
so basically it's a system of equations with 2 unknowns. You just need to solve for E :)
0.019
@kirbykirby
@mathmate
is this right
ya I got that =]
last one ok
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