Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 02 Jun 2017 My Price 12.00

A researcher routinely tests using a nomina

A researcher routinely tests using a nominal P(type I error)=0.05, rejecting H0 if the P-value ≤ 0.05. An exact test using test statistic T has null distribution P(T=0)=0.30, P(T=1)=0.62, and P(T=2)  =0.08, where a higher Tprovides more evidence against the null.

a. With the usual P-value, show that the actual P(type I error)=0.

b. With the mid-P-value, show that the actual P(type I error)=0.08.

c. Find P(type I error)in parts (a) and (b) when P(T= 0)=0.30, P(T=1)=0.66, P(T=2)=0.04. Note that the test with mid- P-value can be conservative or liberal. The exact test with ordinary  P-value cannot be liberal.

d. In part (a), a randomized-decision test generates a uniform random variable U from[0, 1]and rejects H0 when T=2 and U≤5/8 . Show the actual P(type I error)=0.05. Is this a sensible test?

 

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Maurice Tutor
(5)
Status NEW Posted 02 Jun 2017 10:06 PM My Price 12.00

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