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Two studies were conducted, study A had a power of 0.75 and study B had a...

Two studies were conducted, study A had a power of 0.75 and study B had a power of 0.45. Which study would be more likely to support the true alternative hypothesis Ha ?

Math   Statistics-And-Probability   
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Answer #1

As we know the power of test is defined as probability of rejecting null hypothesis when alternative hypothesis is true.

If we have power= 0.75 this means the probability of rejecting null hypothesis is 0.75. when alternative is true. This means with 0.75 probability it is accepting true alternative hypothesis.

If power = 0.25, this shows with 0.25 probability it is accepting true alternative hypothesis.

Therefore Study A is more likely to support the true alternative hypothesis Ha.

Cheers !

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