Inference aplet’s SYMB view keys

The table below summarizes the options available in

Symbolic view.

Hypothesis

Confidence Intervals

Tests

 

 

 

Z: 1 μ, the Z-Test

Z-Int: 1 μ, the confidence

on 1 mean

interval for 1 mean, based on

 

the Normal distribution

Z: μ1 – μ2, the

Z-Int: μ1 – μ2, the confidence

Z-Test on the

interval for the difference of

difference of two

two means, based on the

means

Normal distribution

Z: 1 π, the Z-Test

Z-Int: 1 π, the confidence

on 1 proportion

interval for 1 proportion,

 

based on the Normal

 

distribution

Z: π1 – π2, the

Z-Int: π1 – π2, the confidence

Z-Test on the

interval for the difference of

difference in two

two proportions, based on the

proportions

Normal distribution

T: 1 μ, the T-Test on

T-Int: 1 μ, the confidence

1 mean

interval for 1 mean, based on

 

the Student’s t-distribution

T: μ1 – μ2, the T-

T-Int: μ1 – μ2, the confidence

Test on the

interval for the difference of

difference of two

two means, based on the

means

Student’s t-distribution

 

 

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.

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Inference aplet