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Inference aplet 9-9
Hypothesis tests
You use hypothesis tests to test the validity of hypotheses that
relate to the statistical parameters of one or two populations.
The tests are based on statistics of samples of the populations.
The HP 39G/40G hypothesis tests use the Normal
Z–distribution or Student’s t-distribution to calculate
probabilities.
One–Sample Z–Test
Menu name Z–Test: 1 µ
On the basis of statistics from a single sample, the 1 mean
Z–Test measures the strength of the evidence for a selected
hypothesis against the null hypothesis. The null hypothesis is
that the population mean equals a specified value Η
0
: µ –µ
0
.
You select one of the following alternative hypotheses against
which to test the null hypothesis:
Inputs The inputs are:
H
1
µµ
0
<
H
1
:µµ
0
>
H
1
:µµ
0
≠
Field name Definition
Sample mean.
n Sample size.
µ
0
Hypothetical population mean.
σ Population standard deviation.
α Significance level.
x