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Suppose that two different studies were conducted to determine whether the proportion of overweight men is 30% (null hypothesis) or different from 30% (alternative hypothesis). One study enrolled 100 men, while the other study enrolled 1000 men. Both studies resulted in the same sample proportion of overweight men, 35%. However, the p-values were very different: one study gave a p-value = 0.275 while the other study gave a p-value = 0.0006.
-Explain why the p-values are so different.
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