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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
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.
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Time Series Analyses, Forecasting Methods, and Indices
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman