Two-Proportion Z-Test - HP 40gs User Manual

hp40g+.book Page 11 Friday, December 9, 2005 1:03 AM
Inputs
Results

Two-Proportion Z-Test

Menu name
Inference aplet
The inputs are:
Field name Definition
x Number of successes in the sample.
n Sample size.
π
Population proportion of successes.
0
α
Significance level.
The results are:
Result Description
Test P Proportion of successes in the sample.
Test Z Z-Test statistic.
Prob Probability associated with the Z-Test
statistic.
Critical Z Boundary value of Z associated with
the level you supplied.
Z-Test: π1 – π2
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
proportion of successes in the two populations is equal
H0: π = π
.
1 2
You select one of the following alternative hypotheses
against which to test the null hypothesis:
H
H
H
< π
:π
1 1 2
> π
:π
1 1 2
≠ π
:π
1 1 2
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