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`

Step-by-step 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` .