To apply Central Limit Theorem on sample proportions in One

To apply Central Limit Theorem on sample proportions in One Sample Proportion test, the sample size and the population proportion under null hypothesis need to satisfy certain conditions. Which of the following scenarios meet the requirement?

Solution

To apply Central Limit Theorem, the sample size should be sufficiently large (i.e. n >= 50). Since all the sample sizes are >= 50, all the scenarios meet the requirement.