The age distribution of the Canadian population and the age distribution of a ra
ID: 3158788 • Letter: T
Question
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below. Age (years) Percent of Canadian Population Observed Number in the Village Under 5 7.2% 47 5 to 14 13.6% 71 15 to 64 67.1% 295 65 and older 12.1% 42 Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)
What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
Explanation / Answer
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below. Age (years) Percent of Canadian Population Observed Number in the Village
Under 5 7.2% 47
5 to 14 13.6% 71
15 to 64 67.1% 295
Under 5 12.1% 42
Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) chi-square statistic =10.977
What are the degrees of freedom? DF=4-1=3
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
P=0.12
Calculated P=0.012 < 0.05 level, the null hypothesis is rejected.
There is evidence to reject the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
Under 5
47
32.760
14.240
6.190
5 to 14
71
61.880
9.120
1.344
15 to 64
295
305.305
-10.305
0.348
65 and older
42
55.055
-13.055
3.096
455
455.
10.977
10.98
chi-square
3
df
.0118
p-value
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
Under 5
47
32.760
14.240
6.190
5 to 14
71
61.880
9.120
1.344
15 to 64
295
305.305
-10.305
0.348
65 and older
42
55.055
-13.055
3.096
455
455.
10.977
10.98
chi-square
3
df
.0118
p-value
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