What is the effect of increasing sample size on Power?

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Multiple Choice

What is the effect of increasing sample size on Power?

Explanation:
Increasing sample size raises the power of a statistical test. Power is the probability of correctly rejecting a false null hypothesis. With more data, the standard error shrinks, making the distribution under the true alternative more separated from the null distribution. This enhances our ability to detect a real effect at the chosen significance level, so the chance of finding a statistically significant result when there is a true effect goes up, approaching 1 as the sample grows. It won’t decrease power, and it typically makes power more stable rather than more variable.

Increasing sample size raises the power of a statistical test. Power is the probability of correctly rejecting a false null hypothesis. With more data, the standard error shrinks, making the distribution under the true alternative more separated from the null distribution. This enhances our ability to detect a real effect at the chosen significance level, so the chance of finding a statistically significant result when there is a true effect goes up, approaching 1 as the sample grows. It won’t decrease power, and it typically makes power more stable rather than more variable.

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