This assignment illustrates the tests involving the two different C 2 tests cove

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

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