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?

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?