It is known that 64% of Americans personally worry a great deal about federal spending and the budget deficit.

Question

It is known that 64% of Americans personally worry a great deal about federal spending and the budget deficit. Which of the following needs to be satisfied in order to be able to use the Central Limit Theorem to describe the sampling distribution of the proportion of Americans who personally worry a great deal about federal spending and the budget deficit? Select all of the answers that apply.

1. XX follows a binomial distribution
2. np≥5np≥5 and nq≥5nq≥5
3. n≥30n≥30 or XX follows a normal distribution
4. The sample needs to be representative of all Americans

Answer 1

np and nq >= 5 and representative sample.