Suppose you are planning to use a t test for single samples to test the followin

Question

Suppose you are planning to use a t test for single samples to test the following one-tailed hypotheses. H_0: mu = 0 H_1: mu > 0 Since you want to maximize the power of your study, you are considering which factors might decrease power so that you can adjust your plans to avoid them, if possible, before conducting your research. The following are your considerations for decreasing power. Fill in any missing words/values. _____ decreases the power of the t test for single samples, because this change in alpha makes it less likely you will reject the null hypothesis. This change makes it harder to correctly reject a false null hypothesis-meaning that power is decreased. _____ in X decreases the power of the t test for single samples, because this change in the _____ of the test statistic for the t test for single samples _____ the overall test statistic, making it _____ likely you will reject the null hypothesis. The denominator of the test statistic for the t test for single samples is _____. _____ in this denominator decreases the power of the t test for single samples, because this change _____ the overall test statistic, making it less likely you will reject the null hypothesis. This denominator increases when either the sample size (N) _____ or the population variance _____. All of the factors discussed previously affect the power of the t test for single samples. As the person making the decisions about how the research will be conducted, which of the following factors can you possibly influence? Check all that apply. s/Squareroot N Sample size (N) alpha X

Explanation / Answer

a)

Increase in alpha

b)

Increase, numerator, increases, more

c)

standard error, increase, decreases, decreases, increases

d)

Sample size (N), a

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