7-9-5 Tests

2-Prop Z Test

Command: TwoPropZTest ￿

Description: This command compares the proportion of successes for two populations. A 2-Prop Z Test is used for normal distribution.

 

 

 

x1

–

x2

 

 

 

x1

: data value of sample 1

Z =

 

 

n1

n2

 

 

x2

: data value of sample 2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n1

: size of sample 1

 

 

p(1– p )

 

1

+

1

 

 

 

 

 

n2

: size of sample 2

 

 

 

n2

 

 

 

 

 

 

n1

ˆp

: estimated sample proportion

 

 

 

 

 

 

 

 

 

 

 

Command Syntax

“p1 condition”, x1 value, n1 value, x2 value, n2 value

Definition of Terms

p1 condition : sample proportion test conditions (“≠” specifies two-tail test, “<” specifies one-tail test where sample 1 is smaller than sample 2, “>” specifies one-tail test where sample 1 is greater than sample 2.)

x1 :data value (integer, x1 >0) of sample 1

n1 :size of sample 1 (positive integer)

x2 :data value (integer, x2 >0) of sample 2

n2 :size of sample 2 (positive integer)

Input Example:

TwoPropZTest “>”,15,20,25,30

Calculation Result Output

p1>p2 :

test condition

z :

 

z value

p :

 

p-value

pˆ1

:

estimated proportion of sample 1

pˆ2

:

estimated proportion of sample 2

pˆ

:

estimated sample proportion

n1

:

size of sample 1

n2

:

size of sample 2

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