What is the probability of making a Type I error?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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3. Suppose Y is a random sample of size 1 from a population with density function
Oyº-1 0<y < 1
f(y|0) = {
elsewhere
(a) Sketch the power function of the test with rejection region: Y > 0.5.
(b) The hypotheses are Ho : 0 = 0, versus Ha : 0 > 00. What is the value of 00 if the signficance level of the
test specified in (a) is 0.10?
(c) Suppose a random sample of n = 7 observations is taken from this population to test the hypotheses
Ho : 0 = 2 versus Ha : 0 > 2. As a decision rule, the experimenter plans to record X, the number of
that exceed 0.9, and reject if X > 4. That is, the experimenter plans to use the test:
ys
1 X >4
$(X) = { 0 x < 4
What is the probability of making a Type I error?
Need Your Help with Part - (c)
Transcribed Image Text:3. Suppose Y is a random sample of size 1 from a population with density function Oyº-1 0<y < 1 f(y|0) = { elsewhere (a) Sketch the power function of the test with rejection region: Y > 0.5. (b) The hypotheses are Ho : 0 = 0, versus Ha : 0 > 00. What is the value of 00 if the signficance level of the test specified in (a) is 0.10? (c) Suppose a random sample of n = 7 observations is taken from this population to test the hypotheses Ho : 0 = 2 versus Ha : 0 > 2. As a decision rule, the experimenter plans to record X, the number of that exceed 0.9, and reject if X > 4. That is, the experimenter plans to use the test: ys 1 X >4 $(X) = { 0 x < 4 What is the probability of making a Type I error? Need Your Help with Part - (c)
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