Question

Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election. They surveyed 650 randomly selected community college students and found that 55% of them plan to vote.

Which of the following are the appropriate null and alternative hypotheses for this research question?

A)
0: =0.50

: ≠0.50

B)

0: =0.50

: >0.50

C)

0: =0.55

: ≠0.55

D)

0: =0.55

: >0.55

Answer is:
B

Answer 1

`H_(0) = 0.5`

`H_(a) > 0.5`

Option b

Explanation:

Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election.

The null hypothesis is always an equalityu related to the expected, or tested value. In this question, the tested value is half of the students, a proportion of 0.5, that is:
`H_(0) = 0.5`

The alternate hypothesis is related to the test we are taking. In this question, we are testing if the majority of the students plan to vote, that is, if the proportion of the students that plan to vote is higher than 0.5. So
`H_(a) > 0.5`

So the correct answer is given by option B.