Question

I have a statistics question, very general in nature.
1.) For a decrease in the sample size, what happens to the variability of the sample proportion?

Answer 1

You have a decrease in sample size, so is your sample more representative or less representative of the population at large?

Answer 2

it should be aisze

Answer 3

so if the sample size decreases then the sample just becomes less rep. of the pop?

Answer 4

you got it, which means what about how well the sample proportions represent the true proportion?

Answer 5

it sample portions aren't always accurate?

Answer 6

well it means that the accuracy goes down so you're correct in a way

Answer 7

so because that accuracy goes down, the variability increases

Answer 8

so basically the sample proportions are spread out more if you have a smaller sample (because this smaller sample isn't as representative as a larger one)

Answer 9

thanks for your help..I have one more question if yo don't mind?

Answer 10

sure go for it

Answer 11

What does it mean for an estimator to be unbiased?

Answer 12

well by definition, if the mean of this estimator is really the value you're trying to estimate, then it's unbiased. If the mean is not the value you're looking for, then it's biased

Answer 13

for example, xbar is an unbiased estimator of mu because if you have a sample of xbars, then taking the mean of a large enough sample size will yield something pretty close to the population mean mu

Answer 14

ohhh okay..your the best! lol Thanks again. hardest math class I've taken so far :/

Answer 15

I'm sure you're doing fine. Just keep practicing and reading the sections and you'll get it.

Answer 16

mathway.com might help a little to