A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was χ2=8.2. Which of the following represents the p–value for the test?     P(χ2≥8.2)=0.08 A P(χ2≥8.2)=0.04 B P(χ2≤8.2)=0.96 C P(χ2=8.2)=0.00 D The p-value cannot be calculated because the sample size is not given. E

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A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was χ2=8.2. Which of the following represents the p–value for the test?

 
 
  • P(χ2≥8.2)=0.08

    A
  • P(χ2≥8.2)=0.04

    B
  • P(χ2≤8.2)=0.96

    C
  • P(χ2=8.2)=0.00

    D
  • The p-value cannot be calculated because the sample size is not given.

    E
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