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Sample size query for nominal data

  • 1.  Sample size query for nominal data

    Posted Wed October 25, 2023 11:27 AM

    Hello I am working with the data below, showing the percentage of people who are physically inactive by gender

    Inactive Total
    Female 56 277
    Male 27 217

     

    Including weighting

    Inactive Total
    Female 70.374 308.244
    Male 29.309 268.020

    My question is regarding the sample size for males, I have read a sample of 30 would support normal distribution, but don't know if this applies to nominal data? Should I apply a minimum sample size requirement of 30 to nominal data>? If so, do it apply to the total number of males (217) or the number of inactive males (27).

    My second question is regarding applying confidence intervals 

    The proportion of males who are inactive is 10.9% 

    29.309 * 268.020 = 10.9%

     

    When I look to apply a confidence interval using Analyse: Nonparametric tests: One sample: Binomial test: Clopper Pearson (exact) I get a different percentage for inactive males (10.1%) why is this?

    Thankyou in advance for any support



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    Karen Hartley
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