(Solution) - The sample consists of 20 out of 50 infected women -(2025 Original AI-Free Solution)

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The sample consists of 20 out of 50 infected women and 10 out of 50 infected men.
Thirty out of 100 individuals are found to be infected with a disease. Estimate the proportion of infected women and infected men in the above circumstances. Assuming that the whole population is composed of 50% women, estimate the infected proportion in the whole population.