The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not stated. C) The p-value is not the probability of observing 12.4 exactly. D) The significance level is not stated. E) The degrees of freedom are not stated.
The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value?
A) The null hypothesis can never be assumed to be true.
B) The null hypothesis is not stated.
C) The p-value is not the probability of observing 12.4 exactly.
D) The significance level is not stated.
E) The degrees of freedom are not stated.
Cite this post:
Sourav Pan. (2024, September 10). The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not stated. C) The p-value is not the probability of observing 12.4 exactly. D) The significance level is not stated. E) The degrees of freedom are not stated.. Biology Notes Online. Retrieved from https://biologynotesonline.com/qa/the-corresponding-p-value-of-0-03-means-that-the-probability-of-observing-a-test-statistic-of-%cf%87212-4-is-0-03-assuming-the-null-hypothesis-is-true-which-of-the-following-is-a-valid-criticism-of/
Sourav Pan. "The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not stated. C) The p-value is not the probability of observing 12.4 exactly. D) The significance level is not stated. E) The degrees of freedom are not stated.." Biology Notes Online, 10 September 2024, biologynotesonline.com/qa/the-corresponding-p-value-of-0-03-means-that-the-probability-of-observing-a-test-statistic-of-%cf%87212-4-is-0-03-assuming-the-null-hypothesis-is-true-which-of-the-following-is-a-valid-criticism-of/.
Sourav Pan. "The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not stated. C) The p-value is not the probability of observing 12.4 exactly. D) The significance level is not stated. E) The degrees of freedom are not stated.." Biology Notes Online (blog). September 10, 2024. https://biologynotesonline.com/qa/the-corresponding-p-value-of-0-03-means-that-the-probability-of-observing-a-test-statistic-of-%cf%87212-4-is-0-03-assuming-the-null-hypothesis-is-true-which-of-the-following-is-a-valid-criticism-of/.
Answer: C) The p-value is not the probability of observing 12.4 exactly.
Explanation: The p-value represents the probability of observing a test statistic as extreme as or more extreme than the one observed, not the probability of observing the exact value.
Cite this post:
Sourav Pan. (2024, September 10). The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not stated. C) The p-value is not the probability of observing 12.4 exactly. D) The significance level is not stated. E) The degrees of freedom are not stated.. Biology Notes Online. Retrieved from https://biologynotesonline.com/qa/the-corresponding-p-value-of-0-03-means-that-the-probability-of-observing-a-test-statistic-of-%cf%87212-4-is-0-03-assuming-the-null-hypothesis-is-true-which-of-the-following-is-a-valid-criticism-of/
Sourav Pan. "The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not stated. C) The p-value is not the probability of observing 12.4 exactly. D) The significance level is not stated. E) The degrees of freedom are not stated.." Biology Notes Online, 10 September 2024, biologynotesonline.com/qa/the-corresponding-p-value-of-0-03-means-that-the-probability-of-observing-a-test-statistic-of-%cf%87212-4-is-0-03-assuming-the-null-hypothesis-is-true-which-of-the-following-is-a-valid-criticism-of/.
Sourav Pan. "The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not stated. C) The p-value is not the probability of observing 12.4 exactly. D) The significance level is not stated. E) The degrees of freedom are not stated.." Biology Notes Online (blog). September 10, 2024. https://biologynotesonline.com/qa/the-corresponding-p-value-of-0-03-means-that-the-probability-of-observing-a-test-statistic-of-%cf%87212-4-is-0-03-assuming-the-null-hypothesis-is-true-which-of-the-following-is-a-valid-criticism-of/.
