Analysis of Red Meat Consumption and Colorectal Cancer Statistics
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Red meat consumption, colorectal cancer, statistics, probabilities, confidence intervals
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Abstract
This document presents an analysis of the relationship between daily red meat consumption and colorectal cancer, including statistical calculations and confidence intervals.
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[...] Theoretical Personnel Table Daily red meat consumption (grams) Colorectal Cancer Yes No Weak 15 110 Moderate 36 263 High 9 69 It is easily noticeable that the two variables are dependent. The theoretical and observed numbers in the 'High red meat consumption' mode show a very large difference (the frequencies pass from 29.33% to 12%). Question We calculate the frequencies of each mode of 'Daily red meat consumption': Weak: 120 + 5 = 125 Moderate: 33 +267 = 300 High: 22 + 53 = 75 Question We have 75 people with high red meat consumption out of a total of 500 subjects, or 75 / 500 = 0.15 = 15% The proportion of subjects with high red meat consumption is therefore 15%. [...]
[...] p = 0.15 and n = 500, we therefore have n ? 30, np ? 5 and ? The 95% confidence interval of the proportion is therefore : Question The critical value corresponding to a confidence level of 90% is 1.645. Since we have n ? [...]
