Question

1. A survey was done by a car manufacturerc group of 500 individuals was asked whether they purchased their car because of its appearance, its performance ratings, or its fixed price (no negotiating). The given in the following table: results are COST 35 65 OWNER/CRITERIA PERFORMANCE 50 170 APPEARANCE Male Female 100 80 (a) Compute the expected frequency for each entry tate the null and alternative hypotheses if you were to test whether there difference in the proportions using the three different criterian to purchase given car based on gender (c) C ompute the test statistic for the goodness-of-fit test. (d) If you were testin rejection region? g at the 5 percent level of significance, what would be the for the (e) P erform a goodness-of-fit test at the 5 per hypotheses stated in part (b). cent level of significance

Answer 1

50 D o m ele- Gs 31s 230 So

Expected yeem S60 =-31 66-6 SOD Soo F113-4 138-6 b) in The proportonS using Thr olrbserunt Cotean to purchafe givm ear bad cd ση gender

usi ng Thre dibbevent cnteronTo Purchase The givtn car bascd on gender C) test statisth c 2 2 oo 66.6 16-1s 12- o.1O 31 13-4 9-83 65 63 06

2 3 The de) -) 2 2 "There s di terence, ,, n寸ne proportion using "Thee dǐtrent Crittrium to purclat given