A Marketing Research Company Is Estimating Which of Two Soft $\hat { n p } \geq 15$

Short Answer

A marketing research company is estimating which of two soft drinks college students prefer. A random sample of 157 college students produced the following confidence interval for the proportion of college students who prefer drink A: (.344, .494). Is this a large enough sample for this analysis to work? A) Yes, since both $\hat { n p } \geq 15$ and $\hat { n q } \geq 15$ .
B) Yes, since $n = 157$ (which is 30 or more).
C) No.
D) It is impossible to say with the given information.