HP Prime Graphing Wireless Calculator - Manual (Page 84)

80 Inference app
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, this 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:
H
0
: π
1
< π
2
H
0
: π
1
> π
2
H
0
: π
1
≠ π
2
Inputs The inputs are:
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
pˆ
pˆ
Field name Definition
x
1
Sample 1 success count