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Math Help - Poll "Normalization"--How to Filter?

  1. #1
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    Poll "Normalization"--How to Filter?

    Example--A blind, online poll. Suppose the question asked is something like "Do you trust left-handed people?" Assume that no left-handed people would say "no".

    The poll reports that 10% answered no. But if 15% of those polled are lefties, how would their "yes" votes be filtered out--in order to see what righties think?

    It can't be as simple as subtracting them out, because 10 minus 15 is -5. Hopefully this can have a simple answer as I never took any math higher than Alg. 2, and had to take it a few times to pass.
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  2. #2
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    Re: Poll "Normalization"--How to Filter?

    Assume that no left-handed people would say "no".
    As you have pointed out...15% left handed people took the survey but you only had 10% negative responses, so this assumption must be incorrect.

    Setting that aside,
    If you know for every response whether the person is leftie or not, you can look at your data seperately for each group (eg, find what proportion of righties would trust a leftie).
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  3. #3
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    Re: Poll "Normalization"--How to Filter?

    Quote Originally Posted by SpringFan25 View Post
    As you have pointed out...15% left handed people took the survey but you only had 10% negative responses, so this assumption must be incorrect.

    Setting that aside,
    If you know for every response whether the person is leftie or not, you can look at your data seperately for each group (eg, find what proportion of righties would trust a leftie).
    Uh, do not understand your reply. We assume that ALL lefties (15% of those polled) said "Yes" to the trust question, and 10% of *everyone* polled said "no". Question is, what % of righties (85% of those polled) said "no".

    We'll ignore the ambidexes. here.
    Last edited by Milanodan; October 30th 2012 at 10:25 AM.
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  4. #4
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    Re: Poll "Normalization"--How to Filter?

    ignore my first post.

    if:
    90% said yes overall
    15% are lefties and said yes
    85% are righties

    Then the total number of "yes" votes cast by lefties is: 90\% - 15\%

    and sot he proportion of righties voting yes is \frac{90\%-15\%}{85\%} = 88.235\%
    Last edited by SpringFan25; October 31st 2012 at 04:08 AM.
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  5. #5
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    Re: Poll "Normalization"--How to Filter?

    Thanks! I thought there had to be a simple way to do this.

    Quote Originally Posted by SpringFan25 View Post
    ignore my first post.

    if:
    90% said yes overall
    15% are lefties and said yes
    85% are righties

    Then the total number of "yes" votes cast by lefties is: 90\% - 15\%

    and sot he proportion of righties voting yes is \frac{90\%-15\%}{85\%} = 88.235\%
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