Because you suspect that the wheel is not fair, you watch a random sample of 100 people play the game. Here are the findings: Color Observed Red White Green Yellow 48 22 25 Expected 25 25 25 25 A chi-square goodness of fit test was conducted to determine whether the data provide convincing evidence that the wheel is not fair. The test statistic was 37.52. Which of the following statements is true?

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Because you suspect that the wheel is not fair, you watch a random sample of 100
people play the game. Here are the findings:
Color
Red
White
Green
Yellow
Observed
48
22
25
Expected
25
25
25
25
A chi-square goodness of fit test was conducted to determine whether the data provide
convincing evidence that the wheel is not fair. The test statistic was 37.52. Which of the
following statements is true?
(A) At the significance level a = 0.05, the data do not provide convincing evidence that
the wheel is not fair.
(B) At the significance level a = 0.05, the data provide convincing evidence that the
wheel is not fair.
(C) No valid conclusion can be made because the observed frequency for one cell is
5.
(D) The chi-square statistic has 100 – 1 = 99 degrees of freedom.
%3D
(E) The wheel may not be fair, but the game is fair because all of the expected values
are equal.
Transcribed Image Text:Because you suspect that the wheel is not fair, you watch a random sample of 100 people play the game. Here are the findings: Color Red White Green Yellow Observed 48 22 25 Expected 25 25 25 25 A chi-square goodness of fit test was conducted to determine whether the data provide convincing evidence that the wheel is not fair. The test statistic was 37.52. Which of the following statements is true? (A) At the significance level a = 0.05, the data do not provide convincing evidence that the wheel is not fair. (B) At the significance level a = 0.05, the data provide convincing evidence that the wheel is not fair. (C) No valid conclusion can be made because the observed frequency for one cell is 5. (D) The chi-square statistic has 100 – 1 = 99 degrees of freedom. %3D (E) The wheel may not be fair, but the game is fair because all of the expected values are equal.
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