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Suppose We Have Two Binomial Populations Where the True Proportion

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Suppose we have two binomial populations where the true proportion of success is .2 for the first population and .3 for the second population.We take an SRS of size 4 from the first population,and the number of successes is 3.We take an SRS of size 400 from the second population,and the number of successes is 200.Why should Suppose we have two binomial populations where the true proportion of success is .2 for the first population and .3 for the second population.We take an SRS of size 4 from the first population,and the number of successes is 3.We take an SRS of size 400 from the second population,and the number of successes is 200.Why should   be closer to .3? A) Because the sample size is large B) Because of nonresponse bias C) Because .3 is close to .5 D) None of the above be closer to .3?


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