In a Recent Poll, 30 Percent of Adults Said They

Multiple Choice

In a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten," according to The NDP Group, the market-research company that conducted the poll. A researcher wonders if a smaller proportion of students at her university would respond in the same fashion.
Suppose the researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten. A statistician carries out a significance test of the null hypothesis that the proportion wanting to reduce gluten at the university is the same as for all adults versus the alternative hypothesis that a smaller proportion p of students would say they want to reduce or be free of gluten.
What are the null and alternative hypotheses in this situation?

A) H₀: p = 0.30 H_a: p < 0.30
B) H₀: p = 0.30 H_a: p  0.30
C) H₀: p = 0.30 H_a: p < 0.20
D) H₀: p = 0.20 H_a: p  0.30