Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table of probabilities p(x|0) for 3 values of 0: X 0 1 0 = 0.5 0.031 0.156 0 = 0.6 0.010 0.077 0 = 0.8 0.000 0.006 2 3 4 5 0.313 0.313 0.156 0.031 0.230 0.346 0.259 0.078 0.051 0.205 0.410 0.328 You want to run a significance test on the value of 0. You have the following: Null hypothesis: 0 = 0.5. Alternate hypotheses: >0.5. Significance level: a = .1. (a) Find the rejection region. (b) Compute the power of the test for each of the two hypotheses 0 = 0.6 and 0 = 0.8. (c) Suppose you run an experiment and the data gives x = 4. Compute the p-value of this data.
Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table of probabilities p(x|0) for 3 values of 0: X 0 1 0 = 0.5 0.031 0.156 0 = 0.6 0.010 0.077 0 = 0.8 0.000 0.006 2 3 4 5 0.313 0.313 0.156 0.031 0.230 0.346 0.259 0.078 0.051 0.205 0.410 0.328 You want to run a significance test on the value of 0. You have the following: Null hypothesis: 0 = 0.5. Alternate hypotheses: >0.5. Significance level: a = .1. (a) Find the rejection region. (b) Compute the power of the test for each of the two hypotheses 0 = 0.6 and 0 = 0.8. (c) Suppose you run an experiment and the data gives x = 4. Compute the p-value of this data.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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
Transcribed Image Text:Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table of
probabilities p(x|0) for 3 values of 0:
X
0
1
0 = 0.5
0.031
0.156
0 = 0.6
0.010
0.077
0 = 0.8 0.000 0.006
2
3
4
5
0.313
0.313
0.156
0.031
0.230
0.346 0.259 0.078
0.051 0.205 0.410 0.328
You want to run a significance test on the value of 0. You have the following:
Null hypothesis: 0 = 0.5.
Alternate hypotheses: >0.5.
Significance level: a = .1.
(a) Find the rejection region.
(b) Compute the power of the test for each of the two hypotheses 0 = 0.6 and 0 = 0.8.
(c) Suppose you run an experiment and the data gives x = 4. Compute the p-value of this
data.
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