What is the level of significance? State the null and alternate hypotheses. Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom? Find or estimate the P-value of the sample test statistic. Based on your answers in parts (a), (b), and (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
What is the level of significance? State the null and alternate hypotheses. Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom? Find or estimate the P-value of the sample test statistic. Based on your answers in parts (a), (b), and (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of Red Lake Village (Northwest Territories) are shown below.
| Age (years) | Percent of Canadian Population | Observed Number in Red Lake Village |
|---|---|---|
| Under 5 | 7.2% | 47 |
| 5 to 14 | 13.6% | 75 |
| 15 to 64 | 67.1% | 288 |
| 65 and older | 12.1% | 45 |
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 (To provide your answer, please provide the following information).
- What is the level of significance? State the null and alternate hypotheses.
- Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
-
Find or estimate the P-value of the sample test statistic.
-
Based on your answers in parts (a), (b), and (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
Expert Solution
Working
| % | Observed | Expected | (O-E)^2 | (O-E)^2/E |
| 0.072 | 47 | 32.76 | 202.7776 | 6.189792 |
| 0.136 | 75 | 61.88 | 172.1344 | 2.781745 |
| 0.671 | 288 | 305.305 | 299.463 | 0.980865 |
| 0.121 | 45 | 55.055 | 101.103 | 1.8364 |
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