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 0.01. Assuming the conditions for inference were met, which of the following is the correct interpretation of the p-value? A) There is a 1 percent chance that the company’s claim is correct. B) If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct. C) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of 9.19. D) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19. E) There is a 1 percent chance of obtaining a chi-square value of at least 9.19.
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 0.01. Assuming the conditions for inference were met, which of the following is the correct interpretation of the p-value?
A) There is a 1 percent chance that the company’s claim is correct.
B) If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct.
C) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of 9.19.
D) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19.
E) There is a 1 percent chance of obtaining a chi-square value of at least 9.19.
Cite this post:
Sourav Pan. (2024, September 10). 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 0.01. Assuming the conditions for inference were met, which of the following is the correct interpretation of the p-value? A) There is a 1 percent chance that the company’s claim is correct. B) If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct. C) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of 9.19. D) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19. E) There is a 1 percent chance of obtaining a chi-square value of at least 9.19.. Biology Notes Online. Retrieved from https://biologynotesonline.com/qa/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-4/
Sourav Pan. "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 0.01. Assuming the conditions for inference were met, which of the following is the correct interpretation of the p-value? A) There is a 1 percent chance that the company’s claim is correct. B) If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct. C) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of 9.19. D) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19. E) There is a 1 percent chance of obtaining a chi-square value of at least 9.19.." Biology Notes Online, 10 September 2024, biologynotesonline.com/qa/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-4/.
Sourav Pan. "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 0.01. Assuming the conditions for inference were met, which of the following is the correct interpretation of the p-value? A) There is a 1 percent chance that the company’s claim is correct. B) If the null hypothesis is true, there is a 1 percent chance that the company’s claim is correct. C) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of 9.19. D) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19. E) There is a 1 percent chance of obtaining a chi-square value of at least 9.19.." Biology Notes Online (blog). September 10, 2024. https://biologynotesonline.com/qa/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-4/.
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