Question

Suppose you are planning to use a t test for independent groups to tast the following one-tailed hypotheses you want to maximize the power of your study, you are considering which factors might increase power so th can adjust your plans to incorporate them, if possible, before conducting your research you The following are your considerations for increasingp ower. Fill in any missing words/values. (Hint: Remember that for this alternative hypothesis, you will reject the null hypothesis for large values of the test statistic) An increaseine(such a s using α-.101 tal instead of α" .05 i tail) increases the power of . t test for independent groups, because this change in a makes it more likely you will reject the null hypothesis. This change makes it easier to correctly reject a false null hypothesis-meaning that power is increased. in Xi Xa increases the power of the t test for independent groups, because this of the test statistic for the t test for independent groups likely you will reject the null change in the the overall test statistic, makingt hypothesis · The denominator of the test statistic for the t test for independent groups is in this denominator increases the power of the t test forindependent groups, the overall test statistic, making it more likely you will reject because this change the null hypothesis. This denominator decreases when either the sample size of one or both samples (ni and/or na) or the population varlance All of the factors discussed previously offect the power of the t test for independent groups. As the person making the decisions about how the research wil be conducted, which of the follcwing factors cen you possibly influence? Check all that apply I Sample size of one or beth samples (ni andfor na

Answer 1

1. An increase in the confidence level ( alpha) increases the power of t test

2.An increase in $\overline{X}_1 - \overline{X}_2$ increases the power of t test

3.numerator

4. increases

5.more

6. $s_p * \sqrt{(\frac{1}{n_1} +\frac{1}{n_2} )}$

7. decreases

8.increase

9.increase

10. decrease

11. factors that affect are

sample size (n), alpha ($\alpha$ )and standard error $\sigma /\sqrt{n}$