Question

The mayor of Lawrenceville indicated in a news interview that the percentage of students at GGC studying business is at least 30%. For your marketing project, you intend to test this claim. The correct setup of a hypothesis test for this situation is:________a) H0: p < .30 Ha: p ≥ .30b) H0: p ≤ .30 Ha: p > .30c) H0: p ≥ .30 Ha: p < .30d) H0: p > .30 Ha: p ≤ .30

Answer 1

Answer: c)  $H_0:p\geq0.30\\\\H_a:p<0.30$

Explanation:

• The null and alternative hypotheses both are statements as per the researcher's objective or claim that contains the population parameter ( against each other).

Null hypothesis$(H_0)$ contains  ≤,≥ ,= signs

Alternative hypotheses$(H_a)$ contains < , > , ≠ signs.

Let p be the percentage of students at GGC studying business.

Given: The mayor of Lawrenceville indicated in a news interview that the percentage of students at GGC studying business is at least 30%.

i.e. p ≥ 0.30  [30%=0.30 in decimal]

So, Null hypothesis $H_0:p\geq0.30$

Then, the alternative hypothesis would be ( opposite of the null hypothesis)

i.e. $H_a:p<0.30$

hence, the correct answer is c)  $H_0:p\geq0.30\\\\H_a:p<0.30$ .