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Math Help - Hypothesis question?

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    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?
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    Quote Originally Posted by Myung View Post
    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.
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    Quote Originally Posted by mr fantastic View Post
    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?
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    Quote Originally Posted by Myung View Post
    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).
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    Quote Originally Posted by mr fantastic View Post
    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?
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    Quote Originally Posted by Myung View Post
    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 .......
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    Quote Originally Posted by mr fantastic View Post
    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?
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    Quote Originally Posted by Myung View Post
    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.
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