Suppose you are planning to use a test of the population mean when the population standard deviation is known (a z test) to test the following one-tailed hypotheses. Ho: µ < 0 H1: µ > 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. (Hint: Remember that for this alternative hypothesis, you will reject the null hypothesis for large values of the test statistic.) decreases the power of the z test, because this change in a 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.
Suppose you are planning to use a test of the population mean when the population standard deviation is known (a z test) to test the following one-tailed hypotheses. Ho: µ < 0 H1: µ > 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. (Hint: Remember that for this alternative hypothesis, you will reject the null hypothesis for large values of the test statistic.) decreases the power of the z test, because this change in a 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.
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![13. Factors affecting power
Aa Aa
Suppose you are planning to use a test of the population mean when the population standard deviation is known (a z
test) to test the following one-tailed hypotheses.
Ho: H s 0
H1: µ > 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. (Hint: Remember that
for this alternative hypothesis, you will reject the null hypothesis for large values of the test statistic.)
decreases the power of the z test,
because this change in a 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff611932b-28af-4bbe-89f9-c5ee05184fbc%2F3424a61b-570a-4c14-9d1a-27a0716c87e7%2Fj4dkyb_processed.png&w=3840&q=75)
Transcribed Image Text:13. Factors affecting power
Aa Aa
Suppose you are planning to use a test of the population mean when the population standard deviation is known (a z
test) to test the following one-tailed hypotheses.
Ho: H s 0
H1: µ > 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. (Hint: Remember that
for this alternative hypothesis, you will reject the null hypothesis for large values of the test statistic.)
decreases the power of the z test,
because this change in a 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 M decreases the power of the z test, because this change in the
of the test statistic for the z test
the overall test statistic, making
it
likely you will reject the null hypothesis.
The denominator of the test statistic for the z test is
in this
denominator decreases the power of the z test, 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 standard deviation
All of the factors discussed previously affect the power of the z test. 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.
o/Vn
Sample size (n)
M](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff611932b-28af-4bbe-89f9-c5ee05184fbc%2F3424a61b-570a-4c14-9d1a-27a0716c87e7%2F8hfxvw_processed.png&w=3840&q=75)
Transcribed Image Text:in M decreases the power of the z test, because this change in the
of the test statistic for the z test
the overall test statistic, making
it
likely you will reject the null hypothesis.
The denominator of the test statistic for the z test is
in this
denominator decreases the power of the z test, 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 standard deviation
All of the factors discussed previously affect the power of the z test. 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.
o/Vn
Sample size (n)
M
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