Suppose 35% of CBC students intend to major in the health sciences. What is the minimum sample size required for the distribution of the sample proportion to be modeled by the normal distribution?

Answer 1

There is no magic number for the sample size where the normal approximation is "good enough". As the sample size increases, the distribution of the sample proportion will get gradually closer to normal, but will never be exactly normal. So any specific cutoff would be arbitrary.