Thread: Hypothesis question?

For a 2 sample t-test, I am testing whether the averages of sample A and sample B are different.
Sample A and sample B gives me:
p-value is 0.0137
Level significance is 1%.

There were values given but I'm just interested in whether A and B are the different.
A) A is less than B.
B) B is less than A.
C) A is the same as B.
D) A is different than B, but we can't tell by how much given this hypothesis test.

My guess would be C, but that makes no sense because by not rejecting H knot, we can't actually tell if they are the same or different right? There's not enough evidence, or am I missing something?

Originally Posted by Myung

For a 2 sample t-test, I am testing whether the averages of sample A and sample B are different.
Sample A and sample B gives me:
p-value is 0.0137
Level significance is 1%.

There were values given but I'm just interested in whether A and B are the different.
A) A is less than B.
B) B is less than A.
C) A is the same as B.
D) A is different than B, but we can't tell by how much given this hypothesis test.

My guess would be C, but that makes no sense because by not rejecting H knot, we can't actually tell if they are the same or different right? There's not enough evidence, or am I missing something?

p-value = 0.0137 > 0.01 therefore the null hypothesis is not rejected. If the level of significance was 5%, then you would reject the null hypothesis.

Originally Posted by mr fantastic

p-value = 0.0137 > 0.01 therefore the null hypothesis is not rejected. If the level of significance was 5%, then you would reject the null hypothesis.

That I understand. But, you can't make any assumptions that either A or B are the same or different right? So, I don't see any of the answers as right? Or can you?

Originally Posted by Myung

That I understand. But, you can't make any assumptions that either A or B are the same or different right? So, I don't see any of the answers as right? Or can you?

Are options A - D from a multiple choice question? Do you have to choose one of them? If so, then C is the most correct option (although I don't particularly like how it's worded).

Originally Posted by mr fantastic

Are options A - D from a multiple choice question? Do you have to choose one of them? If so, then C is the most correct option (although I don't particularly like how it's worded).

Yeah it is multiple choice. C just does not seem correct to me because it does not have to be the same, correct? Couldn't D also be correct?

Originally Posted by Myung

Yeah it is multiple choice. C just does not seem correct to me because it does not have to be the same, correct? Couldn't D also be correct?

A might be different to B, it might not be (they probably are different). You probably could argue a case for option D, but it's not compelling. The case for option C is not compelling either, I might add.

In my opinion, the question is a very poor one. It's a shame option E (none of the above) is not given. I'd suggest you discuss the question with your teacher and see what s/he thinks .......

Originally Posted by mr fantastic

A might be different to B, it might not be (they probably are different). You probably could argue a case for option D, but it's not compelling. The case for option C is not compelling either, I might add.

In my opinion, the question is a very poor one. It's a shame option E (none of the above) is not given. I'd suggest you discuss the question with your teacher and see what s/he thinks .......

Okay, I am waiting for a response. Do you think a case can be made that if the p-value is rounded to the hundredth, it would be equal to alpha and that would mean you can reject H knot?

Originally Posted by Myung

Okay, I am waiting for a response. Do you think a case can be made that if the p-value is rounded to the hundredth, it would be equal to alpha and that would mean you can reject H knot?

No. The simple fact is that the given options are very poorly worded.