Họ : 0 = 1 against HA: 0 > 1 using Y as the test statistic by rejecting Ho (a) Find c so that this hypothesis test has significance level 0.05. (b) What is the power of the test in (a) as a function of 0?

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Please write out solutions using full sentences (in- cluding capital letters to start sentences and periods to end them) and no abbreviations. The question is about hypothesis testing. Thank you so much. 

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Let Y be a Uniform[0,θ] random variable where θ > 0 is a parameter. Consider testing H0 :θ=1againstHA :θ>1usingY astheteststatisticbyrejectingH0 whenY >c.

(a) Find c so that this hypothesis test has significance level 0.05.

(b) What is the power of the test in (a) as a function of θ?

1.
Let Y be a Uniform[0, 0] random variable where 0 > 0 is a parameter. Consider testing
Ho : 0 = 1 against HA : 0 > 1 using Y as the test statistic by rejecting Ho when Y > c.
(a) Find c so that this hypothesis test has significance level 0.05.
(b) What is the power of the test in (a) as a function of 0?
Transcribed Image Text:1. Let Y be a Uniform[0, 0] random variable where 0 > 0 is a parameter. Consider testing Ho : 0 = 1 against HA : 0 > 1 using Y as the test statistic by rejecting Ho when Y > c. (a) Find c so that this hypothesis test has significance level 0.05. (b) What is the power of the test in (a) as a function of 0?
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