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Which of the following statements is NOT true about the distributions of counts and proportions?


For a large population, the count of failures for an SRS of size n does not have a binomial distribution.


For a sample of large n, the distribution of the sample proportion can be approximated with a normal distribution.


For a large population, the count of successes for a simple random sample (SRS) of size n has a binomial distribution.


For a sample of large n, the distribution of the count can be approximated with a normal distribution.

Sagot :

There are different laws. The statement that is not true is that for a large population, the count of failures for an SRS of size n does not have a binomial distribution.

Binomial distribution

There are things that takes place in binomial distribution when n is large.

Note that For large values of n, the distributions of the count X and the sample proportion are said to be normal. This result is said to be in line with the Central Limit Theorem.

The binomial distribution B (n,p) is known to be good example of the Sampling distribution of the count of successes in an SRS of size n from a large population that has proportion p of successes.

Learn more about  binomial distribution from

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