The type of household for the U.S. population and for a random sample of 411 hou
ID: 3229135 • Letter: T
Question
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H_0: The distributions are different. H_1: The distributions are different. H_0: The distributions are different. H_1: The distributions are the same. H_0: The distributions are the same. H_1: The distributions are different. H_0: The distributions are the same. H_1: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes NoExplanation / Answer
Answer:
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
108
106.860
1.140
0.012
111
119.190
-8.190
0.563
30
36.990
-6.990
1.321
91
102.750
-11.750
1.344
71
45.210
25.790
14.712
Total
411
411.000
17.951
17.951
chi-square
4
df
.0013
p-value
Chi square statistic = 17.951
Critical value=9.488
P=0.0013
Ho is rejected.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
108
106.860
1.140
0.012
111
119.190
-8.190
0.563
30
36.990
-6.990
1.321
91
102.750
-11.750
1.344
71
45.210
25.790
14.712
Total
411
411.000
17.951
17.951
chi-square
4
df
.0013
p-value
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