An SRS of size 100 is taken from a population having proportion 0.8 of successes

Question

An SRS of size 100 is taken from a population having proportion 0.8 of successes. An independent SRS of size 400 is taken from a population having proportion 0.5 of successes.

1. The sampling distribution for the difference in the sample proportions, P1-P2, has mean:

a) 0.3

b) the smaller of 0.8 and 0.5

c) 0.15

d) that cannot be determined without knowing the sample results

2. The sampling distribution for the difference in the sample proportions, P1-P2, has standard deviation equal to:

a) 1.3

b) 0.40

c) 0.047

d) 0.002

Explanation / Answer

b)0.5 |80-200|/500=0.5 which is smaller of 0.8 and 0.5

c)0.40(0.3^2+0.2^2)/2

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