Suppose that there are four candidates for the Democratic presidential nominee f
ID: 3222827 • Letter: S
Question
Suppose that there are four candidates for the Democratic presidential nominee for 2016. I would like to know if the candidates are equally preferred. A sample of 200 eligible voters is taken and they are asked which candidate they prefer. The results are below. Suppose that there are four candidates for the Democratic presidential nominee for 2016. I would like to know if the candidates are equally preferred. A sample of 200 eligible voters is taken and they are asked which candidate they prefer. The results are below. a. What are the hypotheses for this test? H_0: H_A: b. How many degrees of freedom does this test have? _____ c. If the null hypothesis is true, what are the expected counts for each candidate? A: _____ B: _____ C: _____ D: _____ d. The test statistic is =23, What is the p-value for this test? e. What is your conclusion at the 5% significance level? f. Can you determine which candidate is favored based on this test? Yes No g. If you answeredExplanation / Answer
Answer:
a).
Ho: P1=P2=P3=P4=0.25
OR Ho: Candidates are equally preferred
H1: Candidates are not equally preferred
b). Df=3
c). Expected counts : A:50, B:50, C: 50, D:50
d). P=0.00004
e). Reject the null hypothesis.
We conclude that candidates are not equally preferred.
f). No.
(This test does not indicate which candidate is favored. This only shows that candidates are equally preferred or not.)
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
30
50.000
-20.000
8.000
75
50.000
25.000
12.500
40
50.000
-10.000
2.000
55
50.000
5.000
0.500
Total
200
200.000
23.000
23.00
chi-square
3
df
0.00004
p-value
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
30
50.000
-20.000
8.000
75
50.000
25.000
12.500
40
50.000
-10.000
2.000
55
50.000
5.000
0.500
Total
200
200.000
23.000
23.00
chi-square
3
df
0.00004
p-value
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