The power of a test is the probability of making:Group of answer choicesan incorrect decision when the null hypothesis is false.an incorrect decision when the null hypothesis is true.a correct decision when the null hypothesis is false.a correct decision when the null hypothesis is true.
Question
The power of a test is the probability of making:Group of answer choicesan incorrect decision when the null hypothesis is false.an incorrect decision when the null hypothesis is true.a correct decision when the null hypothesis is false.a correct decision when the null hypothesis is true.
Solution 1
The power of a test is the probability of making:
A correct decision when the null hypothesis is false.
Here's a step-by-step explanation:
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The power of a statistical test is the probability that the test will reject the null hypothesis when the null hypothesis is actually false (i.e., it is the probability of not making a Type II error).
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In other words, the power of a test is the probability that the test will correctly identify a true effect or difference, if one exists.
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Therefore, the power of a test is the probability of making a correct decision (rejecting the null hypothesis) when the null hypothesis is false (there is a true effect or difference).
Solution 2
The power of a test is the probability of making:
A correct decision when the null hypothesis is false.
Here's a step-by-step explanation:
-
The power of a statistical test is the probability that the test will reject the null hypothesis when the null hypothesis is actually false (i.e., it is the probability of not making a Type II error).
-
In other words, the power of a test is the probability that the test will correctly identify a true effect or difference, if one exists.
-
Therefore, the power of a test is the probability of making a correct decision (rejecting the null hypothesis) when the null hypothesis is false (there is a true effect or difference).
Similar Questions
Which of the following is an accurate definition for the power of a statistical test?Group of answer choicesThe probability of rejecting a false null hypothesisThe probability of supporting a false null hypothesisThe probability of rejecting a true null hypothesisThe probability of supporting true null hypothesis
Recall that the power of a test is the probability that we reject H_0 when H_0 is false. Which of the following are true? Select one or more answers.Group of answer choicesIf sample size increases then power increases.If H_0 is very likely to be true then the power is higher when compared to when H_0 is very likely to be false.If α increases then power increases.If the effect size increases then power increases.
There is a direct relationship between the power of a test and the probability of a Type II error.Group of answer choicesTrueFalse
What is statistical power?Review LaterThe probability of correctly rejecting the null hypothesis when the alternative hypothesis is true.The probability of committing a Type I error (false positive), which is rejecting the null hypothesis when it is true.The probability of committing a Type II error (false negative), which is failing to reject the null hypothesis when the alternative hypothesis is true.None of the above
Identify the three factors that determine the power of a statistical test.Select one or more:a.statistical treatmentb.null hypothesis testingc.level of statistical significanced.sample sizee.size of the treatment effectf.pobability
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