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.