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Two-proportion z-test – HP Prime Graphing Wireless Calculator User Manual

Page 84

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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