A binomial experiment is one that has these five characteristics: 1. The experiment consists of n identical trials. 2. Each trial results in one of two outcomes. For lack of a better name, one outcome is called a success, S, and the other a failure, F. 3. The probability of success on a single trial is equal to p and remains the same from trial to trial. The probability of failure is equal to (1-p) = q. 4. The trials are independent. 5. We are interested in the binomial random variable x, the number of successes in n trials, for x = 0,1,2,...n Answer the problem if it is binomial experiment based on the characteristics given: Suppose there are approximately 1,000,000 adults in a county an unknown proportion p favors term limits for politicians. A sample of 1,000 adults will be chosen in a such a way that every one of the 1,000,000 adults has an equal chance of being selected, and each adult is asked whether he or she favors term limits. (The ultimate objective of this survey is to estimate the unknown proportion p). Is this a binomial experiment?
A binomial experiment is one that has these five characteristics:
1. The experiment consists of n identical trials.
2. Each trial results in one of two outcomes. For lack of a better name, one outcome is called a success,
S, and the other a failure, F.
3. The
probability of failure is equal to (1-p) = q.
4. The trials are independent.
5. We are interested in the binomial random variable x, the number of successes in n trials, for x =
0,1,2,...n
Answer the problem if it is binomial experiment based on the characteristics given:
Suppose there are approximately 1,000,000 adults in a county an unknown proportion p favors term limits for politicians. A sample of 1,000 adults will be chosen in a such a way that every one of the 1,000,000 adults has an equal chance of being selected, and each adult is asked whether he or she favors term limits. (The ultimate objective of this survey is to estimate the unknown proportion p). Is this a binomial experiment?
Step by step
Solved in 2 steps