Suppose that we will randomly select a sample of n 100 elements from a population and that we will compute the sample proportion p of these elements that fall into a category of interest If the true population proportion p equals 9 a Describe the shape of the sampling distribution of p Why can we v...

a np 1009 90 n 1 p 1001 10 Since np and nq are both more than 5 the sample is large eno ...

Suppose that we will randomly select a sample of n 100 elements from a population and that

Question:

Suppose that we will randomly select a sample of n 100 elements from a population and that we will compute the sample proportion p ˆ of these elements that fall into a category of interest. If the true population proportion p equals .9:
a. Describe the shape of the sampling of p. Why can we validly describe the shape?
b. Find the mean and the standard deviation of the sampling of p.
c. Find P (p ≥.96)
d. Find P (. 855≤ p ˆ≤ .945)
e. Find P (p≤ .915))
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...