#success-failure-condition

Question 1: Select all that apply

Suppose 8% of college students are vegetarians, and $\hat p$ is the proportion of vegetarians in a random sample of $n$ students. Which statements are true? Select all that apply.

With $n = 50$ , the sampling distribution of $\hat p$ is right-skewed.1
With $n = 250$ , a sample with $\hat p = 0.12$ would be unusual, more than 2 standard errors above 0.08.2
With $n = 60$ , the sampling distribution of $\hat p$ is nearly normal because $n \ge 30$ .3
Increasing $n$ from 125 to 250 cuts the standard error of $\hat p$ in half.4

#success-failure-condition

Timed test