According to the "Quick Facts" Listed on Cal Poly's Website $\hat{p}$

Essay

According to the "quick facts" listed on Cal Poly's website in fall 2011, the proportion of Cal Poly undergraduates who are in the College of Business is. Suppose that you select a simple random sample of 150 Cal Poly undergraduates, and let $\hat{p}$ represent the sample proportion who are in the College of Business.
-With a larger sample size, would the probability in #4 be larger, smaller, or the same? Explain your answer.