In a large population, 67% of the households have cable tv. a simple random sample of 256 households is to be contacted and the sample proportion computed. what is the mean and standard deviation of the sampling distribution of the sample proportions?

Step-by-step explanation:

The mean and standard deviation of the sampling distribution of the sample proportions is given by :-

, where n is the sample size and p is the population proportion.

Given : p= 0.67  and n= 256

Then, the mean and standard deviation of the sampling distribution of the sample proportions is given by :-

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is