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    Hey everybody, I've got a little statistics question that I'd really appreciate some help with.

    While carrying out a survey on the question "do you intend on going abroad this year?", with a sample population of 100 people, 48 responded "yes" to the question, 46 responded "no" to the question, and the remainder replied "don't know".

    What I need to ask is, under the null hypothesis that in fact the number of "yes" respondents equals the number of "no" respondents, what type of distribution does X take, where X is the number of people who are going on holiday?

    Thanks for any help you can give
    Jon
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    I thought it might have been a binomial distribution, but others in the class suggested it was a Normal distribution, and some a t-distribution.
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    I don't think it's a normal distribution because it's discrete data, not continuous.

    If you imagine the graph of the distribution, it would have two tall peaks with a low bit in the middle. The x-axis would go from no (-1) to don't know (0) to yes (+1). I'm not sure what the distribution is called though.
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    For what it's worth (as in I don't know the definitive answer).

    I'd discount the don't knows, which reduces your sample to 94, and then treat as binomial. Use a Normal approximation if necessary.
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    (Original post by ghostwalker)
    For what it's worth (as in I don't know the definitive answer).

    I'd discount the don't knows, which reduces your sample to 94, and then treat as binomial. Use a Normal approximation if necessary.
    Ok thanks.
 
 
 
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Updated: March 22, 2011
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