Determine whether or not the procedure described below results in a binomial dis

Question

Determine whether or not the procedure described below results in a binomial distribution. If it is not binomial, identify at least one requirement that is not satisfied. Four hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 4.5 million registered voters. Each is asked If he or she is a member of political party A, recording Yes or No. Choose the correct answer below. A. No. the probability of success Is not the same in all trials. B. No, there are more than two possible outcomes. C. No, the number of trials is not fixed. D. No, the trials are not independent and the sample is more than 5% of the population. E. Yes, the result is a binomial probability distribution.

Explanation / Answer

The term binominal itself means two names ("bi" = two from Greek, I think and "nomine" is name in Latin) and in terms of statistics it suggests that there are always two mutually exclusive options.

In your case, you have the question "if he is a member of political party A or not" and there are only two answers: "yes, he is" and "no, he is not", and it's either one of the answers that is true, so therefore you have binominal distribution.

In conclusion, I would suggest choosing e) as the correct answer.

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