The cost of housing for elderly persons who rent as a percentage of income is di
ID: 1719454 • Letter: T
Question
The cost of housing for elderly persons who rent as a percentage of income is distributed as listed below. Beneath the national percentages are the observed frequencies for a random sample of 300 elderly renters from a the Jacksonville area. At the 0.025 level, could the distribution of housing costs as a percentage of income for the elderly persons in this area be the same as for the nation as a whole?
20% to 30% to
< 20% under 30% under 40% $ 40%
NationalSample Local Sample
13.0%
26
25.6%
67
20.3%
68
41.1%
139
100%
n = 300
The following data are the number of persons who were waiting in line at a fast food counter at 100 randomly selected times during the week. At the 0.05 level, test whether the population of these values could be Poisson distributed.
x = Number Number of
of persons Observations
0 24
1 24
2 18
3 20
4 10
5 4
total 100
NationalSample Local Sample
13.0%
26
25.6%
67
20.3%
68
41.1%
139
100%
n = 300
Explanation / Answer
H0: Housing costs are the same
Ha: atleast two are different
(Two tailed chi square test)
-----------------------------------------------------
As mean not equal to variance and the difference is very large, it cannot be Poisson
Nat sample 13 25.6 20.3 41.1 Local Sample 26 67 68 139 300 Expected 39 76.8 60.9 123.3 300 chi square 4.333333 1.250521 0.82775 1.999108 8.410712 df 3 p 0.038239 p>0.025 Accept null hypothesisRelated Questions
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