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I use R to simulate 1,000,000 sets of totally independent events, and use the numbers R generates to build 1,000,000 contingency tables. I then calculate

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I use R to simulate 1,000,000 sets of totally independent events, and use the numbers R generates to build 1,000,000 contingency tables. I then calculate the chi-squared value for each contingency tables, assuming a null model of independence. Approximately how many of those simulations will yield a statistically significant chi-squared value at a p=0.05 threshold

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