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Math Help - Finding p-values using a sign test

  1. #1
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    Finding p-values using a sign test

    15 test subjects are asked if they prefer brand A, brand B, or have no preference. 9 prefer brand A, 3 prefer brand B and 3 have no preference. What is the P-value for a sign test of no difference between brands?

    Thanks in advance for any help guys, I'm really stuck
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  2. #2
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    Re: Finding p-values using a sign test

    Hey jamie9.

    Can you show us what you have tried?
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  3. #3
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    Re: Finding p-values using a sign test

    Yes sorry if this doesn't make sense...

    Okay so I was thinking for no difference H0: = 7.5 and H1: ≠ 7.5.

    Then I wanted to use a z test and test for ≥ 7.5 where B(15, 0.5) but the standard deviation wasn't given so I assumed I was on the wrong track?
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  4. #4
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    Re: Finding p-values using a sign test

    When you say sign test, I thought you wanted to do a non-parametric test for this data.

    Given this data you have three choices and it might make sense if you allocated brand A to -1, no preference to 0, and brand B to +1 and then used a test that checked whether the median of this sample was statistically equal to 0 (given some confidence level) or whether you could reject this claim (or hypothesis) with the data.
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