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Scientists often misinterpret the p-value as the probability of the hypothesis. For example, they'll say that the p-value is the probability that the null hypothesis
- Scientists often misinterpret the p-value as the probability of the hypothesis. For example, they'll say that "the p-value is the probability that the null hypothesis is true." Why do you think that they make this mistake? Hint: Discuss the fact that the probability of the hypothesis is what you really want to know about.
- Could the child in the video have brushed his teeth? Of course, he could have dried the toothbrush with a hair dryer, or it could be a particularly hot and dry day. But this is very unlikely.
- If the toothbrush was wet, does that mean the child did brush his teeth? Hint: If all Spaniards are Europeans, this does not mean that a European you meet must be Spanish. Similarly, if the probability of the data would be high if the hypothesis were true, this doesn't mean that the hypothesis is true given the data. It is for this reason that we don't accept hypotheses, we just reject or fail to reject.
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