document.write( "Question 369083: (1). Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following: \r
\n" ); document.write( "\n" ); document.write( "(A) Ho:u >/_81 and,Ha:u<81, a = 0.05
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\n" ); document.write( "\n" ); document.write( "(B) Ho:u= 45 and Ha:u (=/)45, a = 0.10
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\n" ); document.write( "\n" ); document.write( "(C)Ho:u 88, a = 0.01
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Algebra.Com's Answer #263050 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "Hi,
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document.write( "The critical regions appropriate to be used to test the null hypothesis will
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document.write( "depend on the parameters set by Ho & Ha.  In general:
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document.write( "	a	a/2	crtical regions	
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document.write( "90%	10	5%	z <-1.645	z >+1.645
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document.write( "95%	5	2.50%	z <-1.96	z >+1.96
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document.write( "98%	2	1%	z <-2.33	z >+2.33
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document.write( "99%	2	0.50%	z<-2.575	z >+2.575
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document.write( "For example when testing the Ho, the following would be used and will result
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document.write( "in a negative or positive number depending on the value of X used in the
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document.write( "test statistic = \"%28X+-+mu%29%2F%28sigma%2Fsqrt%28n%29%29\"	\r
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document.write( "(A) Ho: u ≥ 81 and Ha: u <81, a = 0.05
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document.write( "this will result in a negative test statistic as the test value used for X < u
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document.write( "therefore, the critical region would be z < -1.96\r
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document.write( "(B) Ho: u= 45 and Ha: u<45 or>45, a = 0.10
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document.write( "The result for a test statistic here may be neg or positive depending on test value of X used
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document.write( "therefore, the critical regions would be z< -1.645 or z > +1.64\r
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document.write( "(C)Ho: u ≤ 88, a = 0.01
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document.write( "The result for this test statistic will be positve because test value used for X > u
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document.write( "therefore, the critical regions would be  z > +2.33
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document.write( "Hope this helps to clear this up.\r
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