Question

A researcher is interested in studying the perceived life satisfaction among younger adults and hypothesizes that life satisfaction among younger adults is different than the general public. She did a pilot study and gave a life satisfaction test (known to have high reliability and validity) to nine younger adults (between 20 and 30). Scores on the measure range from 0 to 5 with 5 indicative of high life satisfaction, and 0 indicative of no life satisfaction.

The data are presented below. Assume that life satisfaction for general public is 2.5, conduct the appropriate test and answer the questions. 4, 3, 3, 4, 5, 2, 2, 2, 2.

What would be the null hypothesis of this study?

A.H0: Mean= 3

B.H0: Mean = 2.5

C.H0: Mean < 5

D.H0: Mean >2.5

E.None of the above

Answer 1

Option B)
`H_0: \text{Mean} = 2.5`

Explanation:

We are given the following in the question:

A researcher is interested in studying the perceived life satisfaction among younger adults.

The hypothesis is conducted to check that life satisfaction among younger adults is different than the general public.

Life satisfaction for general public = 2.5

Data:

4, 3, 3, 4, 5, 2, 2, 2, 2

We have to design the null hypothesis.

The researcher claims that life satisfaction is different for younger adult and general public.

But the null hypothesis always state equality between the population and the sample.

Thus, the null hypothesis will be

Option B)
`H_0: \text{Mean} = 2.5`