After the preliminary study, one of the researchers of the company suggested that the procedure described previously would have more statistical power if the sample size was increased and recommended that a simulation study be conducted to investigate that more completely. For the purposes of the simulation, the researcher assumed that 40 percent of the patients on the current pain reliever will have stomach irritation and that only 30 percent of the patients on the new formulation will have treatment. stomach irritation. Further, the total sample size will now be 200, with 100 subjects randomly assigned to each One-hundred trials of the simulation were conducted, and a p-value was calculated for each trial based on the testing procedure, significance level, and hypothesis used in part (a). A histogram of the p-values is given below. (c) (d) Frequency of p-valuc 50+ 40+ yes prep 30- 20+ 10- 0.5 p-value Use the information in the histogram to estimate the power of the test if the test is performed at the 0.10 level of significance. Indicate how you obtained your estimate. 0.0 study. 0.1 0.2 0.3 0.4 0.6 0.7 0.8 23-24 AP Statistics Unit 06 FA02 0.9 Explain, in the context of this study, what the value obtained in part (c) represents. 1.0 Page 4 of 4
After the preliminary study, one of the researchers of the company suggested that the procedure described previously would have more statistical power if the sample size was increased and recommended that a simulation study be conducted to investigate that more completely. For the purposes of the simulation, the researcher assumed that 40 percent of the patients on the current pain reliever will have stomach irritation and that only 30 percent of the patients on the new formulation will have treatment. stomach irritation. Further, the total sample size will now be 200, with 100 subjects randomly assigned to each One-hundred trials of the simulation were conducted, and a p-value was calculated for each trial based on the testing procedure, significance level, and hypothesis used in part (a). A histogram of the p-values is given below. (c) (d) Frequency of p-valuc 50+ 40+ yes prep 30- 20+ 10- 0.5 p-value Use the information in the histogram to estimate the power of the test if the test is performed at the 0.10 level of significance. Indicate how you obtained your estimate. 0.0 study. 0.1 0.2 0.3 0.4 0.6 0.7 0.8 23-24 AP Statistics Unit 06 FA02 0.9 Explain, in the context of this study, what the value obtained in part (c) represents. 1.0 Page 4 of 4
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:After the preliminary study, one of the researchers of the company suggested that the procedure described
previously would have more statistical power if the sample size was increased and recommended that a
simulation study be conducted to investigate that more completely.
For the purposes of the simulation, the researcher assumed that 40 percent of the patients on the current pain
reliever will have stomach irritation and that only 30 percent of the patients on the new formulation will have
treatment.
stomach irritation. Further, the total sample size will now be 200, with 100 subjects randomly assigned to each
One-hundred trials of the simulation were conducted, and a p-value was calculated for each trial based on
the testing procedure, significance level, and hypothesis used in part (a). A histogram of the p-values is given
below.
(c)
(d)
Frequency of p-valuc
50+
40+
yes prep
30-
20+
10-
0.5
p-value
Use the information in the histogram to estimate the power of the test if the test is performed at the 0.10
level of significance. Indicate how you obtained your estimate.
0.0
study.
0.1
0.2
0.3
0.4
0.6
0.7
0.8
23-24 AP Statistics Unit 06 FA02
0.9
Explain, in the context of this study, what the value obtained in part (c) represents.
1.0
Page 4 of 4
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