Chapter 12.1, Problem 12E

USA Today (“Hybrid Car Sales Rose 81% Last Year,” April 25, 2005) reported the top five states for sales of hybrid cars in 2004 as California, Virginia, Washington, Florida, and Maryland. Suppose that each car in a sample of 2004 hybrid car sales is classified by state where the sale took place. Sales from states other than the top five were excluded from the sample, resulting in the accompanying table.

(The given observed counts are artificial, but they are consistent with hybrid sales figures given in the article.)

The 2004 population estimates from the Census Bureau website are given in the accompanying table. The population proportion for each state was calculated by dividing each state population by the total population for all five states. Use the X² goodness-of-fit test and a significance level of α = 0.01 to test the hypothesis that hybrid sales for these five states are proportional to the 2004 population for these states.