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The mean height of a random sample of 40 Western Hockey League (WHL) players is calculated to be 181 cm. We conduct a hypothesis
The mean height of a random sample of 40 Western Hockey League (WHL) players is calculated to be 181 cm. We conduct a hypothesis test to determine if the true mean height of all WHL players differs from 179 cm. The P-value of the test is calculated to be 0.02. What is the correct interpretation of this P-value? If the true mean height of all WHL players was 179 cm, the probability of rejecting the null hypothesis would be 0.02. The probability that the true mean height of all WHL players differs from 179 cm is 0.02. If we took repeated samples of 40 WHL players and conducted the test in a similar manner, 2% of all samples would have means at least as high as 181 cm. If the true mean height of all WHL players was 179 cm, the probability of observing a sample mean at least as extreme as 181 cm would be 0.02. Given that the sample mean height is 181 cm, the probability that the true mean height of all WHL players differs from 179 cm is 0.02.
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