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) 0.3b) the smaller of 0.8 and 0.5c) 0.15d) that cannot be determined without knowing the sample results2. The sampling distribution for the difference in the sample proportions, P1-P2, has standard deviation equal to:a) 1.3b) 0.40c) 0.047d) 0.002