Stat 211 Handout 9 (Chapter 9): Inferences Based on Two Samples tests

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Decision can be made in one of the two ways:

Let z* or t* be the computed test statistic values.

	if test statistics is z	if test statistics is t
Lower tailed test	P-value = P(z	P-value = P(t
Upper tailed test	P-value = P(z>z*)	P-value = P(t>t*)
Two-tailed test	P-value = 2P(z>\|z\|)= 2P(z<-\|z\|)	P-value = 2P(t > \|t\| )= 2P(t <- \|t\| )

In each case, you can reject H₀ if P-value   and fail to reject H₀ (accept H₀) if P-value > 

Rejection region for level  test:

	if test statistics is z	if test statistics is t
Lower tailed test	z  -z_	t  -t__;v
Upper tailed test	z  z_	t  t__;v
Two- tailed test	z  -z__/2 or z  z__/2	t  -t__/2;v or t  t__/2;v

100(1-)% confidence Intervals with the same assumptions,

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