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Math Help - Adjusting a sample for population size

  1. #1
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    Adjusting a sample for population size

    I have a sample of data for a number of cities in the UK that describes how commonly they are mentioned in the media (and I also have the associated city population size) :

    City, Population, Mentions
    Leeds,400000,434
    London,7000000,30000
    etc ...

    I'd like to be able to compare the mentions on a like-for-like basis, adjusting so that city population size isn't a variable when comparing mentions.

    I think the correct way to normalise the 'mentions' for each city is :

    city_mentions * (1-(city_population/total_population_of_all_cities))

    I'm unable to explain if this is correct though. I'd appreciate any alternate suggestions as to how this could/should be done or if the above method is correct.

    Thanks
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  2. #2
    Master Of Puppets
    pickslides's Avatar
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    I would consider a hypothesis test for determining if there is a significant difference in proportions.

    make H_o: p_1 = p_2

    make H_a: p_1 \neq p_2 \Rightarrow p_1 - p_2 \neq 0

    check out this link

    Confidence Interval on the Difference Between Proportions (1 of 4)
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