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A certain type of legal proceeding has three possible outcomes: in favor of party a, in favor of party b, or not in favor of either party. The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively. A random sample of 40 cases is selected from a certain judge to investigate whether the judge’s outcomes are consistent with the expected outcomes. A chi-square goodness-of-fit test is conducted, and the value of the chi-square test statistic is χ2=9. 19 with a corresponding p–value of 0. 1. Assuming the conditions for inference were met, which of the following is the correct interpretation of the p–value?

Sagot :

Answer:

D) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19.

Explanation:

Most of this AP question is fluff to confuse you, so make sure to emphasize the p-value and the actual question being asked.

For these interpretation problems, for chi-square GOF (goodness of fit) tests, the p-value is interpreted as such:

If the null hypothesis ([tex]H_o[/tex]) is true, there is a [[tex]p[/tex]-value] probability of obtaining a chi-square ([tex]x^2[/tex]) value of [test-statistic [tex]x^2[/tex]] or more extreme.

This answer choice fits the format the best, and is therefore the correct answer.

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