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Which of the following is false? The sampling distribution of the sample proportion is the distribution...

Which of the following is false?

The sampling distribution of the sample proportion is the distribution of values of the sample proportion from all possible samples of size n drawn from a population.

When a sample proportion is calculated, the population from which the sample comes is discrete.

The variance of the sample proportion is equal to the variance of a binomial random variable divided by the sample size squared.

The sampling distribution of the sample proportion is approximately normally distributed provided the population is normally distributed.
Math   Statistics-And-Probability   
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Answer #1

The following statement is FALSE

The sampling distribution of the sample proportion is approximately normally distributed provided the population is normally distributed.

It is not necessary for the underlying population distribution to be normally distributed for the sampling distribution of the sample proportion to be approximately normally distributed. For a big enough sample size, the sampling distribution of the sample proportion is approximately normally distributed, using the central limit theorem.

Additionally all the other provided statements are true.

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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