If the power for a hypothesis test is calculated to be 0.80,then for same test,the probability of a Type II error is 0.20.

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This statement is true. The power of a hypothesis test is defined as the probability of rejecting the null hypothesis when it is actually false or the probability of correctly accepting the alternative hypothesis. Therefore, if the power is calculated to be 0.80, it means that there is an 80% chance of correctly rejecting the null hypothesis, which also implies that there is a 20% chance of committing a Type II error (failing to reject the null hypothesis when it is actually false).

If the Power for a Hypothesis Test Is Calculated to Be