2. We wish to test the hypothesis Ho: = 0.20 against the alternative hypothesis Ha: π *0.20 using the following region of rejection: y in (0,1,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25). a. What is the probability of a Type I error for this experiment? b. What is the probability of a Type II error for this experiment for πa= 0.25? c. What is the power for this experiment for πa=0.25? d. The experiment was performed and y obs was equal to 6. What statistical conclusion would you draw based on this observed number of successes?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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2. We wish to test the hypothesis Ho: = 0.20 against the alternative hypothesis Ha: #0.20
using the following region of rejection: y in
(0,1,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}.
a. What is the probability of a Type I error for this experiment?
b. What is the probability of a Type II error for this experiment for a= 0.25?
c.
What is the power for this experiment for a = 0.25?
d.
The experiment was performed and y obs was equal to 6. What statistical conclusion
would you draw based on this observed number of successes?
Transcribed Image Text:2. We wish to test the hypothesis Ho: = 0.20 against the alternative hypothesis Ha: #0.20 using the following region of rejection: y in (0,1,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}. a. What is the probability of a Type I error for this experiment? b. What is the probability of a Type II error for this experiment for a= 0.25? c. What is the power for this experiment for a = 0.25? d. The experiment was performed and y obs was equal to 6. What statistical conclusion would you draw based on this observed number of successes?
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