True/False a) It is appropriate to use A Normal approximation for a Binomial distribution with n=15 and p=0.2 b) Both the Hypergeometric and the Binomial distributions deal with dichotomous (binary) data.

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True/False  a) It is appropriate to use A Normal approximation for a Binomial distribution with n=15 and p=0.2  b) Both the Hypergeometric and the Binomial distributions deal with dichotomous (binary) data.

ossidianaZ · Accepted Answer

Step 1 a) To use Normal approximation for a Binomial distribution we must have np and n(1−p) both greater than 5. For this problem np=15(0.2)=3&amp;lt;5 So we can not use the Normal approximation. So the given statement is false. Step 2 b) For both Hypergeometric and Binomial distributions there are 2 possible outcomes: success and failure. For Hypergeometric distribution, the probability for success and failure is not the same in every trial. For Binomial distribution, the probability for success and failure is the same in every trial. So both the Hypergeometric and the Binomial distributions deal with dichotomous (binary) data. So the given statement is true.

True/False? It is appropriate to use A Normal approximation for a Binomial distribution with n=15 and p=0.2

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