iii) If a test that rejects Ho given Y₁ ≥c is considered. What will be the value of c when the level of significance of the test is 0.1.

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3.STATISTICAL INFERENCE
Question 4 a iii)

a)
Let y be a random variable whose probability density function and cumulative distribution
function is given by
and,
f(y; 0) =
ey-8
(1+83-8)²
F(y; 0) = 1
1
1+63-9
J
-∞0 <y <∞ and -∞ < 0 <∞,
-∞⁰ <y <∞ and -∞ <<∞,
respectively.
Suppose that it is desired to test the null hypothesis Ho: 0 = 0 against the alternative
hypothesis H₁:0 = 1 using one random observation Y.
iii) If a test that rejects Ho given Y₁ ≥c is considered. What will be the value of c when the level
of significance of the test is 0.1.
Transcribed Image Text:a) Let y be a random variable whose probability density function and cumulative distribution function is given by and, f(y; 0) = ey-8 (1+83-8)² F(y; 0) = 1 1 1+63-9 J -∞0 <y <∞ and -∞ < 0 <∞, -∞⁰ <y <∞ and -∞ <<∞, respectively. Suppose that it is desired to test the null hypothesis Ho: 0 = 0 against the alternative hypothesis H₁:0 = 1 using one random observation Y. iii) If a test that rejects Ho given Y₁ ≥c is considered. What will be the value of c when the level of significance of the test is 0.1.
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