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Does a p-value of 0.1 mean that 1% of the time, the amount of deviation seen between observed and expected values could occur due to chance alone?

Question

Does a p-value of 0.1 mean that 1% of the time, the amount of deviation seen between observed and expected values could occur due to chance alone?

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Solution

No, a p-value of 0.1 does not mean that 1% of the time, the amount of deviation seen between observed and expected values could occur due to chance alone. Instead, a p-value of 0.1 means that there is a 10% probability that the observed data (or data more extreme) could have occurred under the null hypothesis of no effect or no difference. In other words, a p-value of 0.1 indicates that there is a 10% chance that the observed deviation from the expected value occurred due to random chance alone.

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