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?
Question
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?
Solution
In a two-sided hypothesis test, the p-value would be doubled. This is because we are testing for the possibility of the relationship in both directions. So, the p-value would be 0.056 * 2 = 0.112.
The significance level is the probability of rejecting the null hypothesis if it is true. In this case, the significance level is 10% or 0.10.
Comparing the p-value (0.112) with the significance level (0.10), we see that the p-value is greater than the significance level.
Therefore, we fail to reject the null hypothesis at the 10% significance level in a two-sided hypothesis test. This means that we do not have enough evidence to conclude that the alternative hypothesis is true.
Similar Questions
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
A hypothesis test is done in which the alternative hypothesis is that more than 10% of a population is left-handed. The p-value for the test is calculated to be 0.25. Which statement is correct
A two-tailed test is conducted at the 5% significance level. What is the p-value of a sample result required to reject the null hypothesis?Question 16Answera.Less than or equal to 0.05b.Less than or equal to 0.025c.Greater than or equal to 0.05d.Greater than or equal to 0.10
What would be the p-value for this test if you consider it a two-tailed test?0.00550.0110.0220.044
A two-sided hypothesis test for the difference between two population proportions provided statistically significant results at the 5% significance level. Check all the results below that could be the outcome of this test.
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.