Example 18-1. Given the frequency function fx, 0) =:0sxse = (0 0, elsewhere ana that you are testing the null hypothesis Ho : 0 =1 against H1: 0= 2, by means of a single observed value of x. What would be the sizes of the type 1 and type II errors, if you choose the interval (i) 0-5

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Example 18-1. Given the frequency function :
f(x, 0)
0, elsewhere
ana that you are testing the null hypothesis H, : 0 =1 against H1: 0= 2, by means of a single
observed value of x. What would be the sizes of the type 1 and type II errors, if you choose the
interval (i) 0-5 <x, (ii) 1 <x <1-5 as the critical regions ? Also obtain the power function of
the test.
%3|
Transcribed Image Text:Example 18-1. Given the frequency function : f(x, 0) 0, elsewhere ana that you are testing the null hypothesis H, : 0 =1 against H1: 0= 2, by means of a single observed value of x. What would be the sizes of the type 1 and type II errors, if you choose the interval (i) 0-5 <x, (ii) 1 <x <1-5 as the critical regions ? Also obtain the power function of the test. %3|
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