Homework SourseThe age distibution of the Canadian population and the age d
The age distibution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of Red Lake Village are shown below.
Use a 5% level of signigicance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.
a) what is the level of significance? State the null and alternative hypothesis.
b) find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? what sampling distibution will you use? What are the degrees of freedom?
c) find the P-value
d) based on your answers a-c will you reject or fail to reject the null hypothesis of independence?
e) your conclusion.
Please show ALL work.
| Age | Percent of Canadian population | Observed number in Red Lake Village |
| Under 5 | 7.2% | 47 |
| 5-14 | 13.6% | 75 |
| 15-64 | 67.1% | 288 |
| 65 and older | 12.1% | 45 |
Solution
Alpha = 0.05
H0: t the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village
Ha: does not fit
Two tailed test
yes. freq >5. chi square test is used
The P-Value is 0.008146. The result is significant at p < 0.05.
Reject null hypothesis.
the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village is not statistically evident.
| Age | Percent of Canadian population | Observed number in Red Lake Village | Expected | chi square |
| Under 5 | 7.20% | 47 | 32.76 | 6.189792 |
| 14-May | 13.60% | 75 | 61.88 | 2.781745 |
| 15-64 | 67.10% | 288 | 305.305 | 0.980865 |
| 65 and older | 12.10% | 45 | 55.055 | 1.8364 |
| Total | 100.00% | 455 | 455 | 11.7888 |
| df | 3 |
