7.6

7.6 A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in the table. Do the data show that the frequencies observed substantiate the claim that the reasons for choosing a car are equally likely? Test at the 5% level. Reason for Choosing a Car Safety Reliability Cost | Performance Comfort Looks 62 46 34 47 27 . This is Chi-Square Test of Uniform. Given numbers are Observed values (0)- We check if this distribution is close to Uniform. In Uniform distribution all frequencies are the same. Total frequency for all 6 given categories is 84+62+46+34+47+27 = 300. To make it Uniform, each category should have Expected frequency 300/6 = 50 O E O -E (0 - E) 2 (0 - E) 2 /E 84 50 62 50 46 50 34 50 47 50 27 50 . Complete the table, find Chi-Square " and make your conclusion