The p-value for a one-sided test is half of the p-value for a two-sided test of the same null hypothesis based on the same data.Answer instructionsTrueFalse
Question
The p-value for a one-sided test is half of the p-value for a two-sided test of the same null hypothesis based on the same data.Answer instructionsTrueFalse
Solution
True
Explanation: In hypothesis testing, a one-sided test (also known as a one-tailed test) evaluates the probability of observing a test statistic as extreme as, or more extreme than, the observed value in one direction (either greater than or less than a certain value). A two-sided test (or two-tailed test), on the other hand, evaluates the probability of observing a test statistic as extreme as, or more extreme than, the observed value in both directions (both greater than and less than a certain value).
Given the same null hypothesis and the same data, the p-value for a one-sided test is half of the p-value for a two-sided test because the two-sided test considers both tails of the distribution, while the one-sided test considers only one tail. Therefore, the probability in one tail is half of the total probability in both tails.
Similar Questions
The p-value of a one-sided hypothesis test is 0.056. At the 10% significance level, what can we conclude if it was a two-sided hypothesis test instead?
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.
When the p-value is used for hypothesis testing, the null hypothesis is rejected ifQuestion 3Select one:a.p-value < ab.p-value is not equal to ac.a < p-valued.p-value = 1 - a
A one-tail p-value is two times the size of that for a two-tail test.Group of answer choicesTrueFalse
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
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.