USA Today (Hybrid Car Sales Rose 81% Last Year, April 25, 2005) reported the top five states

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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. State Observed Frequency California 252 Virginia 59 Washington 37 Florida 31 Maryland 31 Total 410 (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 web site are given in the accompanying table. The population proportion for each state was computed by dividing each state population by the total population for all five states. Use the χ2 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. State 2004 Population Population Proportion California 35,842,038 0.495 Virginia 7,481,332 0.103 Washington 6,207,046 0.085 Florida 17,385,430 0.240 Maryland 5,561,332 0.077 Total 72,477,178 Calculate the test statistic. (Round your answer to two decimal places.) χ2 =? What is the P-value for the test? (Round your answer to four decimal places.) P-value =?
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