Increasing the relative precision to 90%, reduces the sample size to 14 in each group, whilst decreasing the prevalance for customers over 25 to 1% increases the sample size to 637 per group. If we would like to estimate the odds ratio with 95% confidence and a relative precision of 50%, how many samples are required? Assuming that we plan to sample a similar proportion of customers who are older and younger than 25, that the prevalence of claiming for those over 25 is 5%, and that the odds ratio is expected to be 10, then 144 customers over 25 and 144 customers under 25 would be sufficient. A study aims to explore the relationship between customers who are either older or younger than 25 and whether they have made a claim on their car insurance, in order to determine whether age is associated with the propensity to claim.
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