Question

13. Which of the following is true about the significance level?
A. It measures the probability of rejecting a correct null hypothesis
B. It is set after a statistical test is conducted.
C. It is always set at 0.05.
D. It results in a p-value.​

Answer 1

Answer:

The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.

Answer 2

Which of the following is true about the significance level? A) It measures the probability of rejecting a correct null hypothesis

Explanation:

• In both the $X^{2}$ test and the t-test, we take a probability of 0.05 as being the critical one. This is sometimes called the 5% confidence level.

• If our t-test value represents a probability of 0.05 or more, then we assume that the differences between the two sets of data are due only to chance. The differences between them are not significant.

• If the probability is less than 0.05, then this is strong evidence that something more than chance is causing the difference between the two sets of data. We can say that the difference is significant.