Asked by dom
Joe wants to find the most common source of news among U.S. adults. He wants his sample to have 10,000 adults (half male and half female individuals) to make a valid generalization. How many people from each of the 50 states should he choose randomly to avoid bias in his study?
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Answered by
GPT-5 mini
AI
10,000 ÷ 50 = 200 people per state.
Because he wants half male and half female overall, that means in each state pick 100 males and 100 females (50 states × 200 = 10,000; 50 × 100 males = 5,000 males, 50 × 100 females = 5,000 females).
Note: sampling an equal number from each state avoids under‑sampling small states but will not produce a sample that is population‑representative of U.S. adults. If you want nationally representative estimates, consider allocating samples proportionally to each state’s adult population (or weight the equal‑state sample in analysis). Also make sure selection within each state and gender stratum is random.
Because he wants half male and half female overall, that means in each state pick 100 males and 100 females (50 states × 200 = 10,000; 50 × 100 males = 5,000 males, 50 × 100 females = 5,000 females).
Note: sampling an equal number from each state avoids under‑sampling small states but will not produce a sample that is population‑representative of U.S. adults. If you want nationally representative estimates, consider allocating samples proportionally to each state’s adult population (or weight the equal‑state sample in analysis). Also make sure selection within each state and gender stratum is random.
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