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)

linear pair postulates

12

step-by-step explanation: