Asked by Ethan Belka on Jul 09, 2024

verifed

Verified

Imagine the value of a statistic is greater than the critical value for α = .05 but less than the critical value for α = .01. In this situation you would ______ and state the level of significance as ______.

A) reject the null hypothesis; p > .05
B) not reject the null hypothesis; p > .05
C) reject the null hypothesis; p > .01
D) reject the null hypothesis; p < .05

Critical Value

A threshold value used in hypothesis testing to determine whether to reject the null hypothesis.

Null Hypothesis

In hypothesis testing, it's the presumption that no significant difference exists as a result of the experiment or intervention.

Significance

The likelihood that a result from data collected and analyzed is not due to chance. It’s often determined through the use of a p-value.

  • Accurately report the level of significance based on the value of a statistic and critical values.
verifed

Verified Answer

MN
mageswaran nagarajanJul 13, 2024
Final Answer :
D
Explanation :
Rejecting the null hypothesis when the statistic is greater than the critical value for α = .05 but less than for α = .01 means the p-value is less than .05 (indicating statistical significance at the .05 level) but not as low as .01, hence the correct answer is to reject the null hypothesis and state the level of significance as p < .05.