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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.What is a possible reason that 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.What is a possible reason that   is not closer to .2? A) Because the sample size is too small B) Because of nonresponse bias C) Because of sampling variability D) All of the above is not closer to .2?


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