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. Five hundred different voters in a region with two major political parties, A and B, are randomly selected from the population of 4000 registered voters. Each is asked if he or she is a member of political party A. Choose the correct answer below. A. Yes the result is a binomial probability distribution.Yes, the result is a binomial probability distribution. B. No, there are more than two possible outcomes. C. No the trials are not independent and the sample is more than 5 % of the population. D. No, the probability of success is not the same in all trials. E. No, the number of trials is not fixed.

Explanation / Answer

Here 5% of population means 4000*0.05 = 200 so in the given scenarion sample size is more than 5% of population size. There is only two possible outcomes for each response (either yes or no). So option C is correct.

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