A Marketing Research Company Is Estimating Which of Two Soft $n = 141$

Multiple Choice

A marketing research company is estimating which of two soft drinks college students prefer. A random sample of 141 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 $n = 141$ (which is 30 or more) .
B) No.
C) Yes, since both $\hat { p } \geq 15$ and $\hat { n q } \geq 15$ .
D) It is impossible to say with the given information.