An SRS of size 100 is taken from a population having proportion 0.7 successes. An independent SRS of size 200 is taken from a population having proportion 0.3 successes. The sampling distribution for the difference in sample proportions has what standard deviation?

μ = 0.4

Standard deviation σ = 0.0512 (Approx)

Step-by-step explanation:

Given:

Sample size n1 = 100

Sample size n2 = 200

Proportion p1 = 0.7

Proportion p2 = 0.3

Find:

Standard deviation σ

Computation:

μ = p2 - p1

μ = 0.7 - 0.3

μ = 0.4

Standard deviation σ = √p1(1-p1)/n1 + p2(1-p2)/n2

Standard deviation σ = √0.7(1-0.7)/100 + 0.3(1-0.3)/400

Standard deviation σ = √0.0021 + 0.000525

Standard deviation σ = √0.002625

Standard deviation σ = 0.0512 (Approx)

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.