Question

Suppose the age distribution of the Canadian population and the age distribution of a random sample of 444 residents in the Indian community of Red Lake are shown below.

		Observed Number
Age (years)	Percent of Canadian Population	in Red Lake Village
Under 5	7.3%	42
5 to 14	12.5%	47
15 to 64	68.3%	314
65 and older	11.9%	41

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Use  to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village. Will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

Group of answer choices

Since the P-value is greater than α, we fail to reject the null hypothesis that the population fits the specified distribution of categories in favor of the alternate hypothesis that thepopulation does not fit the specified distribution of categories.

Since the P-value is less than α, we reject the null hypothesis that the population fits the specified distribution of categories in favor of the alternate hypothesis that the populationdoes not fit the specified distribution of categories.

Since the P-value is greater than α, we reject the null hypothesis that the population does not fit the specified distribution of categories in favor of the alternate hypothesis that thepopulation fits the specified distribution of categories.

Since the P-value is less than α, we fail to reject the null hypothesis that the population fits the specified distribution of categories in favor of the alternate hypothesis that thepopulation does not fit the specified distribution of categories.

Since the P-value is less than α, we fail to reject the null hypothesis that the population does not fit the specified distribution of categories in favor of the alternate hypothesis that the population fits the specified distribution of categories.

Answer 1

Category	pi	Observed Freq. (Oi)	Expected Freq. (Ei)	(Oi - Ei)^2/Ei
A	0.073	42	32.412	2.836
B	0.125	47	55.5	1.302
C	0.683	314	303.252	0.381
D	0.119	41	52.836	2.651
		444		7.17

n = 4
alpha = 0.05
degrees of freedom   = 3
p-value = 0.0667
Critical value = 7.815

Since the P-value is greater than α, we fail to reject the null hypothesis that the population fits the specified distribution of categories in favor of the alternate hypothesis that thepopulation does not fit the specified distribution of categories.