11-2 Inference aplet
Inference aplet’s SYMB view keys
The table below summarizes the options available in
Symbolic view.
If you choose one of the hypothesis tests, you can choose
the alternative hypothesis to test against the null
hypothesis. For each test, there are three possible choices
for an alternative hypothesis based on a quantitative
comparison of two quantities. The null hypothesis is
always that the two quantities are equal.Thus, the
alternative hypotheses cover the various cases for the two
quantities being unequal: <, >, and ≠.
In this section, we will use the example data for the Z-Test
on 1 mean to illustrate how the aplet works and what
features the various views present.
Hypothesis
Tests
Confidence Intervals
Z: 1 μ, the Z-Test
on 1 mean
Z-Int: 1 μ, the confidence
interval for 1 mean, based on
the Normal distribution
Z: μ
1
– μ
2
, the
Z-Test on the
difference of two
means
Z-Int: μ
1
– μ
2
, the confidence
interval for the difference of
two means, based on the
Normal distribution
Z: 1 π, the Z-Test
on 1 proportion
Z-Int: 1 π, the confidence
interval for 1 proportion,
based on the Normal
distribution
Z: π1 – π2, the
Z-Test on the
difference in two
proportions
Z-Int: π1 – π2, the confidence
interval for the difference of
two proportions, based on the
Normal distribution
T: 1 μ, the T-Test on
1 mean
T-Int: 1 μ, the confidence
interval for 1 mean, based on
the Student’s t-distribution
T: μ
1
– μ
2
, the T-
Test on the
difference of two
means
T-Int: μ
1
– μ
2
, the confidence
interval for the difference of
two means, based on the
Student’s t-distribution
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