TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ˆ Tests Menu 156
2-PropZTest
Description
2 ˆ (
Tests) Æ 6:2.PropZTest for the TI-89
ˆ (Tests) Æ 6:2.PropZTest for the TI-92 Plus / Voyage™ 200 PLT
2.PropZTest (two-proportion z test) computes a test to compare the proportion of
successes (p
1
and p
2
) from two populations. It takes as input the count of successes in
each sample (
x1
and x2) and the count of observations in each sample (n1 and n2).
2.PropZTest tests the null hypothesis H
0
: p
1
=p
2
(using the pooled sample proportion Ç)
against one of the alternatives below.
¦ H
a
: p
1
ƒp
2
¦ H
a
: p
1
<p
2
¦ H
a
: p
1
>p
2
Inputs
Successes, x1
Successes, x2
Count of successes in the samples x1 and x2.
n1, n2 Count of observations in the samples n1 and n2.
Alternate Hyp
(p1π
ππ
πp2, p1<
<<
<p2, p1>
>>
>p2)
Three alternate hypotheses against which the null hypothesis (H
0
: p
1
=p
2
)
may be tested.
Results
(Calculate or Draw)
Calculate: Display numerical and symbolic test results in a dialog box.
Draw: Draw a graph of the test results.
Outputs
Outputs Stored to Description
z z Standard normal value computed for the difference of proportions.
P Value pval Least probability at which the null hypothesis can be rejected.
p1_hat p1_hat First sample proportion estimate.
p2_hat p2_hat Second sample proportion estimate.
p_hat p_hat Pooled sample proportion estimate.
n1, n2 n1, n2 Number of samples taken in trials 1 and 2.
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