Which two results occur when the null hypothesis is accepted using an F-test?
Choose 2 answers.
Suggested Answer: A, D
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When the null hypothesis is accepted in an F-test, it indicates that there is no statistically significant difference between group variances or means, depending on the test design. Acceptance occurs when the test statistic is less than the critical value, meaning the observed variation is within expected limits.
Accepting the null hypothesis implies that no meaningful difference exists between the samples. If the test statistic exceeded the critical value, the null hypothesis would be rejected.
Thus, the correct results are A and D.
18 comments · newest first
BU
Bulah
2 months ago
Got it! A and D it is then.
MA
Macy
2 months ago
Right, we need to stick with A and D for sure.
RA
Raul
2 months ago
C suggests a difference, which contradicts accepting the null.
BU
Bulah
2 months ago
True, but I thought C could be a possibility too.
MA
Macy
2 months ago
Exactly! If the test statistic is less, we accept it.
RA
Raul
2 months ago
D means no difference, which fits with accepting the null.
BU
Bulah
3 months ago
A is definitely right, but I’m unsure about D.
MA
Macy
3 months ago
I agree, A and D make sense.
RA
Raul
3 months ago
I think A and D are correct.
EM
Emiko
3 months ago
I thought B was a possibility too.
PH
Phung
3 months ago
Wait, are we sure about that? Seems off.
JO
Joana
4 months ago
Totally agree with A and D!
MA
Marge
5 months ago
D) There appears to be no difference between the two samples.
LI
Ligia
5 months ago
A) The test statistic is less than the critical value.
WA
Wava
6 months ago
I keep mixing up the terms, but I think accepting the null means we don't find evidence for a difference, so maybe D is right?
EV
Evan
6 months ago
I practiced a similar question, and I feel like A and D are the right choices since they both suggest no significant difference.
RO
Ronny
6 months ago
I'm not entirely sure, but I remember something about accepting the null indicating no significant difference, which could relate to D.
ER
Eric
6 months ago
I think if we accept the null hypothesis, it means the test statistic is less than the critical value, so A might be correct.