Question 1
A business researcher wants to compare her observed distribution of frequency data to an expected distribution of data using the chi-square goodness-of-fit test. The data are given below. The observed chi-square value for this test is:
|
observed
|
expected
|
|
12
|
9
|
|
20
|
7
|
|
38
|
32
|
|
24
|
38
|
|
18
|
20
|
|
11
|
7
|
|
A
|
34.73
|
|
B
|
41.46
|
|
C
|
47.63
|
|
D
|
33.9
|
Question 2
A researcher wants to test the following observed distribution of values to determine if the values are uniformly distributed. The researcher is using the chi-square goodness-of-fit test for this analysis.
213, 219, 209, 210, 216, 199, 217, 213
For α = .10, the researcher's decision is to:
|
A
|
reject the null hypothesis that the observed distribution is not uniform.
|
|
B
|
fail to reject the null hypothesis that the observed distribution is not uniform.
|
|
C
|
reject the null hypothesis that the observed distribution is uniform.
|
|
D
|
fail to reject the null hypothesis that the observed distribution is uniform.
|
Question 3
The following percentages come from a national survey of the ages of prerecorded-music shoppers. A local survey produced the observed values. Does the evidence in the observed data indicate that we should reject the national survey distribution for local prerecorded-music shoppers? Use
Find the observed value of chi-square. Round the answer to 2 decimal places.
|
Age
|
Precent from Survey
|
fo
|
|
10-14
|
9
|
22
|
|
15-19
|
23
|
50
|
|
20-24
|
22
|
43
|
|
25-29
|
14
|
29
|
|
30-34
|
10
|
19
|
|
≤ 35
|
22
|
49
|
The observed x (squared) =
There is
a) enough
b) not enough evidence to declare that the distribution of observed frequencies is different from the distribution of expected frequencies.
The tolerance is +/- 0.05.