HP 39gII

Inference app 109
Inputs The inputs are:
Results The results are:
Two-Proportion Z-Test
Menu name Z-Test: π
1
– π
2
On the basis of statistics from two samples, each from a
different population, the Two-Proportion Z-Test measures
the strength of the evidence for a selected hypothesis
against the null hypothesis. The null hypothesis is that the
proportions of successes in the two populations are
equal, Η
0
: π
1
= π
2
.
You select one of the following alternative hypotheses
against which to test the null hypothesis:
Field name Definition
x Number of successes in the sample.
n Sample size.
π
0
Population proportion of successes.
α Significance level.
Result Description
Test Z Z-Test statistic.
Test Proportion of successes in the sample.
P Probability associated with the Z-Test
statistic.
Critical Z Boundary value(s) of Z associated
with the α level that you supplied.
Critical Proportion of successes associated
with the level you supplied.
p
ˆ
p
ˆ
H
1
:π
1
π
2
<
H
1
:π
1
π
2
>
H
1
:π
1
π
2
≠