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The p-value is the same as alpha, the level of significance of the hypothesis test. True...

The p-value is the same as alpha, the level of significance of the hypothesis test.

True
False
Math   Statistics-And-Probability   
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Answer #1

The level of significance of the test is the probability of type I error that does not depend on the test statistic value and is defined as the probability of rejecting the null hypothesis given that the null hypothesis is true.

p-value on the other hand depends on the test statistic and is the probability of getting the required test statistic given that the null hypothesis is true.

A hypothesis test is significant if the p-value is lower than the level of significance in which case we reject the null hypothesis. Therefore the p-value and the level of significance are not the same.

Therefore the given statement is False here.

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