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and are contradictory.
If has: | equal | greater than or equal to | less than or equal to |
then has: | not equal or greater than or less than | less than | greater than |
If p-value, then do not reject .
If p-value, then reject .
is preconceived. Its value is set before the hypothesis test starts.The p-value is calculated from the data.
= probability of a Type I error = P(Type I error) = probability of rejecting the null hypothesis when the null hypothesis is true.
= probability of a Type II error = P(Type II error) = probability of not rejecting the null hypothesis when the null hypothesis is false.
If there is no given preconceived , then use .
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