Medical studies need to model the proportion 31. On occasion, medical studies ne

Question

Medical studies need to model the proportion

31. On occasion, medical studies need to model the proportion of the population that has a disease and compare that to observed frequencies of the disease actually occurring. Suppose the end-stage renal failure in south-west Wales was collected for different age groups. Do the data in table 11.2.5 show that the observed frequencies are in agreement with proportion of people in each age group (Boyle, Flowerdew&Williams;, 1997)? Test at the 1% level. Renal Failure Frequenc Age Group 16-29 30-44 45-59 60-75 75+ Total Observed Frequency 3266 132 218 91539 Expected Proportion 0.23 0.25 022 0.21 0.09

Explanation / Answer

using R to do a chi sq test of independence

we get

Pearson's Chi-squared test

data: a and pr

X-squared = 20, df = 16, p-value = 0.2202

as P >.01 we fail to reject the null that the proportions are different.

16--29 30-44 45-59 60-75 75+ total obs freq 32 66 132 218 91 539 ovs prop 0.059369202 0.12244898 0.244897959 0.40445269 0.168831169 1 expected prop 0.23 0.25 0.22 0.21 0.09 1

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