In a recent year US retail automobile sales were categorized

In a recent year U.S. retail automobile sales were categorized as listed below.

Luxury 15.6% large 6% midsize 42% small 36.4%

A random sample of 150 recent purchases indicated the following results: 25 were luxury models, 12 were large cars, 60 were midsize, and 53 were small. At the 0.10 level of significance, is there sufficient evidence to conclude that the proportions of each type of car purchased differed from the report?

Solution

total 150 cars

25 luxury which means 16.6 % as given 15.6%

12 large cars mans 8% as given 6%

60 midsize means 40% as given of 42%

53 small means 35.33 % as given of 36.4%

as it is clear from above the data does not falls under the given 0.10 significance hence we can conclude that the car purchased is differed from the report.