Which of the following p-values will give the strongest evidence against H0?
Question
Which of the following p-values will give the strongest evidence against H0?
Solution
The p-value that will give the strongest evidence against the null hypothesis (H0) is the smallest one. The p-value is a measure of the probability that the observed data would occur given that the null hypothesis is true. A smaller p-value indicates that the observed data is less likely to have occurred by chance alone, thus providing stronger evidence against the null hypothesis. So, out of a set of p-values, the smallest one provides the strongest evidence against H0.
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.
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 p-value listed below suggests strong evidence against the null hypothesis? 0.2 0.02 None 0.99
A significance test was performed to test H0: μ = 2 vs H1: μ ≠ 2 based on a sample of 16 observations.The test statistic is t = −2.125. Based on the Minitab output below, the p-value for this test is in the interval:Group of answer choices(0, 0.01)(0.01, 0.025)(0.025, 0.05)(0.05, 0.1)(0.1, 1)
Based on the p-value you find in the previous question, which hypothesis you accept?Enter either the null hypothesis or the alternative hypothesis below.
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