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.
Question
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.
Solution
The correct fact about the p-value of a test is: "A p-value smaller than the significance level provides enough evidence to reject H0."
Here's why:
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"The larger the p-value, the more evidence the data provide against H0." - This statement is incorrect. In fact, it's the opposite. The smaller the p-value, the stronger the evidence against the null hypothesis (H0). A larger p-value indicates that the observed data is more likely under the null hypothesis, and thus does not provide strong evidence against H0.
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"Regardless of the significance level, a p-value of 0.01 provides enough evidence to reject H0." - This statement is also incorrect. Whether a p-value of 0.01 provides enough evidence to reject H0 depends on the significance level of the test. If the significance level is 0.05, then yes, a p-value of 0.01 would provide enough evidence to reject H0. But if the significance level is 0.001, then a p-value of 0.01 would not provide enough evidence to reject H0.
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"A p-value smaller than the significance level provides enough evidence to reject H0." - This statement is
Similar Questions
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.
Suppose we are conducting a hypothesis test with the following hypotheses:H0: p = 0.7H1: p > 0.7Furthermore suppose we get a p-value of 0.07 while using = 0.05, which of the following is the correct decision?a.At the 5% level of significance, there is significant evidence to reject H1 and retain H0. b.At the 5% level of significance, there is significant evidence to retain H0c.At the 5% level of significance, there is significant evidence to reject H0 in favour of H1. d.At the 5% level of significance, there is not significant 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 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.
Which of the following is a true statement? a. The larger the p-value, the more evidence there is against the null hypothesis. b. The p-value of a test is the probability of getting a test statistic more extreme than the sample result, given that the null hypothesis is true. c. The p-value of a test is the probability of getting a test statistic more extreme than the sample result, given that the null hypothesis is false. d. If the p-value is less than alpha, then the test statistic value is less than the critical value.
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