Which of the following facts about the p-value of a test is correct? Check all that apply. The p-value is calculated under the assumption that the null hypothesis is true. The smaller the p-value, the more evidence the data provide against H0. The p-value can have values between −1 and 1.
Question
Which of the following facts about the p-value of a test is correct? Check all that apply. The p-value is calculated under the assumption that the null hypothesis is true. The smaller the p-value, the more evidence the data provide against H0. The p-value can have values between −1 and 1.
Solution
The first two statements are correct.
-
The p-value is indeed calculated under the assumption that the null hypothesis (H0) is true. This is a fundamental aspect of hypothesis testing. The p-value represents the probability of obtaining the observed data (or data more extreme) if the null hypothesis is true.
-
The second statement is also correct. The smaller the p-value, the more evidence the data provide against the null hypothesis (H0). A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
However, the third statement is incorrect.
- The p-value can have values between 0 and 1, not -1 and 1. It is a probability and thus cannot be negative. A p-value of 0 would indicate that the observed data is impossible under the null hypothesis, while a p-value of 1 would indicate that the observed data is completely consistent with the null hypothesis.
Similar Questions
Which of the following facts about the p-value of a test is correct? The larger the p-value, the more evidence the data provide against H0. Regardless of the significance level, a p-value of 0.01 provides enough evidence to reject H0. A p-value smaller than the significance level provides enough evidence to reject H0.
Which of the following statements is NOT true regarding p-value? The result of every hypothesis test includes a p-value The p-value is the true test of significance The p-value represents the probability that the null hypothesis is TRUE If the p-value is less than or equal to 0.05, there is NOT a significant difference -- fail to reject the Null hypothesis
Which of the following p-values will give the strongest evidence against H0?
The p-value in hypothesis testing represents which of the following: Group of answer choicesThe probability of failing to reject the null hypothesis, given the observed resultsThe probability that the null hypothesis is true, given the observed resultsThe probability that the observed results are statistically significant, given that the null hypothesis is trueThe probability of observing results as extreme or more extreme than currently observed, given that the null hypothesis is true
Which of the following statements is correct?If the p-value <=0.05, it indicates strong evidence against the null hypothesis.If the p-value <= 0.05, it indicates weak strong evidence against the null hypothesis.If the p-value > 0.05, it indicates strong evidence against the null hypothesis.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.