The distribution of vehicles sales in the United States in the year 2000 was the following: Type of car: % Small: 36.8, Midsize: 40.8, Large:19.4, Luxury: 3.0 A simple random sample of 500 vehicles...

The distribution of vehicles sales in the United States in the year 2000 was the following:

Type of car: %

Small: 36.8, Midsize: 40.8,  Large:19.4, Luxury: 3.0

A simple random sample of 500 vehicles sales was taken this year and the distribution is as follow:

Type of car: %

Small: 180, Midsize: 210, Large: 95, Luxury: 15

At the 5% significant level, do the data provides sufficient evidence to conclude that the distribution of vehicle sales this year has changed from the 2000 distribution?

a)State null and alternative hypothesis

b)Calculate expected frequencies

c) Test statistics

d) Critical value

e) Conclusion