# The figure illustrates two sampling distributions for sample proportions when the population proportion p = 0.50. a.

## Question:

a. Find the standard deviation for the sampling distribution of the sample proportion with (i) n = 100 and (ii) n = 1000.

b. Explain why the sample proportion would be very likely (as the figure suggests) to fall (i) between 0.35 and 0.65 when n = 100, and (ii) between 0.45 and 0.55 when n = 1000. (Recall that for an approximately normal distribution, nearly the entire distribution is within 3 standard deviations of the mean.)

c. Explain how the results in part b indicate that the sample proportion tends to more precisely estimate the population proportion when the sample size is larger.

Distribution

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

Fantastic news! We've Found the answer you've been seeking!

## Step by Step Answer:

**Related Book For**

## Statistics The Art And Science Of Learning From Data

**ISBN:** 9780321755940

3rd Edition

**Authors:** Alan Agresti, Christine A. Franklin