This assignment illustrates the tests involving the two different C 2 tests cove
ID: 3222683 • Letter: T
Question
This assignment illustrates the tests involving the two different C2 tests covered in sections 11.2 and 11.3. Your solution will contain:
- A clear statement of hypotheses
- Statement of the test statistic and either p-value (or appropriate critical value)
- Explicit statement of the statistical decision, along with a reason
- A specific conclusion based on the statistical decision.
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in a village in the Northwest Territories are as follows:
Percent of Observed Number
Age (years) Canadian Population in Village .
Under 5 7.2% 47
5 to 14 13.6% 75
15 to 64 67.1% 288
65 and older 12.1% 45
At the a = .05 level of significance, is there evidence that the age distribution for the village is different from the age distribution of the Canadian population?
Explanation / Answer
null hypothesis: age distribution for the village is same from the age distribution of the Canadian population
alternate hypothesis:age distribution for the village is same from the age distribution of the Canadian population
for above chi square siat = 11.7888
degree of freedom =4-1=3
and p value =0.0081
as p vlaue is less then 0.05 level we reject null hypothesis and conclude that age distribution for the village is different from the age distribution of the Canadian population
observed Expected Chi square Probability O E=total*p =(O-E)^2/E under 5 7.20% 47.00 32.76 6.19 5 to14 13.60% 75.00 61.88 2.78 15 to 64 67.10% 288.00 305.31 0.98 65 and older 12.10% 45.00 55.06 1.84 455 455 11.7888