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Q1) It has been reported that 10.3% of U.S. households don't own vehicle, with 34.2% owning 1 vehicle, 38.4% owning 2 vehicles, and 17.1% owning 3 or more vehicles. Data for random sample of 100 households in resort community are concise in frequency distribution below. At 0.05 level of significance, can we refuse possibility that vehicle-ownership distribution in this community varies from that of nation as whole?
Number of vehicles
Number of households
0
20
1
35
2
23
3
22
total
100
i) For df = 5 and the constant A, recognize the value of A such that
a) P(x2 > A) =0.90 b) P(x2 > A) =0.10
c) P(x2 > A) =0.95 d) P(x2 > A) =0.05
e) P(x2 < A) =0.975 f) P(x2 < A) =0.025
Q2) In test of the independence of two variables, one of variables has two possible categories and the other has 3 possible categories. What will be critical value of chi-square if test is to be performed at 0.025 level? At the 0.05 level?
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