Question

A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this​ claim, you randomly select 104
mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At α=0.025, can you reject the claim that the distribution is​ uniform? Complete parts​ (a) through​ (d) below.	Response ​Frequency, f Not a high school graduate 37 High school graduate 40 College​ (1 year or​ more) 27

​(a) State

H0

and

Ha

and identify the claim.

H0​:

The distribution of educational attainment responses is

▼

uniform

not uniform

.

Ha​:

The distribution of educational attainment responses is

▼

uniform

not uniform

.

Which hypothesis is the​ claim?

H0

Ha

​(b) Determine the critical​ value,

χ20​,

and the rejection region.

χ20=nothing

​(Round to three decimal places as​ needed.)

Choose the correct rejection region below.

A.

χ2≥χ20

B.

χ2<χ20

C.

χ2≤χ20

D.

χ2>χ20

​(c) Calculate the test statistic.

χ2=nothing

​(Round to three decimal places as​ needed.)

​(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.

▼

Reject

Fail to reject

H0.

At a

2.5​%

significance​ level, there

▼

is not

is

enough evidence to reject the claim that the distribution of educational attainment responses

▼

is not

is

uniform.

Click to select your answer(s).

Answer 1