The reason we use a z-score from a normal distribution in constructing a confide

Question

The reason we use a z-score from a normal distribution
in constructing a confidence interval for a proportion
is that (the answer is (a) please give a clear explanation of each choice)
(a) For large random samples, the sampling distribution
of the sample proportion is approximately normal.
(b) The population distribution is normal.
(c) For large random samples, the sample data distribution
is approximately normal.
(d) If in doubt about the population distribution, it’s
safest to assume that it is the normal distribution.

Explanation / Answer

Option-A) Because, for small sample size we can use the distribution if population standard deviation is unknown. As we increase the sample size, t score is almost similar to Z score. So, for large sample t score is similar to Z score.

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