Table of Contents
- 1 What does incorrectly rejecting the null hypothesis mean?
- 2 What is the decision regarding the null hypothesis at the 5\% significance level?
- 3 What is the level of risk associated with rejecting a true null hypothesis called?
- 4 How do you know if hypothesis is accepted or rejected?
- 5 When the null hypothesis is rejected Which of the following is true?
- 6 What happens when you increase alpha?
What does incorrectly rejecting the null hypothesis mean?
Failing to reject the null indicates that our sample did not provide sufficient evidence to conclude that the effect exists. However, at the same time, that lack of evidence doesn’t prove that the effect does not exist.
What is the decision regarding the null hypothesis at the 5\% significance level?
For a significance level of 0.05, expect to obtain sample means in the critical region 5\% of the time when the null hypothesis is true. In these cases, you won’t know that the null hypothesis is true but you’ll reject it because the sample mean falls in the critical region.
What is the outcome when you reject the null hypothesis when it is false?
When the null hypothesis is false and you fail to reject it, you make a type II error. The probability of making a type II error is β, which depends on the power of the test. You can decrease your risk of committing a type II error by ensuring your test has enough power.
What is the level of risk associated with rejecting a true null hypothesis called?
Alpha risk is the risk that in a statistical test a null hypothesis will be rejected when it is actually true. This is also known as a type I error, or a false positive.
How do you know if hypothesis is accepted or rejected?
If the P-value is small, say less than (or equal to) , then it is “unlikely.” And, if the P-value is large, say more than , then it is “likely.” If the P-value is less than (or equal to) , then the null hypothesis is rejected in favor of the alternative hypothesis.
What type of error is occured in decision making when the false hypothesis is rejected?
A Type I error occurs when a true null hypothesis is rejected. A Type II error occurs when a false null hypothesis is not rejected.
When the null hypothesis is rejected Which of the following is true?
If there is less than a 5\% chance of a result as extreme as the sample result if the null hypothesis were true, then the null hypothesis is rejected. When this happens, the result is said to be statistically significant .
What happens when you increase alpha?
If you increase alpha, you both increase the probability of incorrectly rejecting the null hypothesis and also decrease your confidence level.