Question

You want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable estimate for the population proportion. you would like to be 95% confident that you esimate is within 1% of the true population proportion. how large of sample size is required?

Answer 1

The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

What is the margin of error(MOE)?

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

As we know, the sample size can be evaluated using the expression:

$\rm ME = Z_c\sqrt{\dfrac{pq}{n}}$

or

$\rm n = \dfrac{Z^2}{ME^2}(pq)$

Here ME = 1% = 0.01

p = 0.5, q = 0.5

Z at α 0.05   (because 95% confident)

= 1.960  

$\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)$

n = 9604

Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1