Lower = – – z  2 x, 1– n, Upper = – + z  2 x – Casio CLASSPAD 330 3.04 User Manual

Page 448

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20090601

7-10-6

Confidence Intervals

SProgram, eActivity or Main Application

Command: OnePropZ Int

:

Command Syntax

C-Level

value,

x

value,

n

value

Input Example:

OnePropZInt 0.99,2048,4040

2-Prop

Z

Interval

Menu: [Interval]-[Two-Prop

ZInt]

Description: This command obtains the confidence interval of the difference between the

proportions of successes of two populations.

The confidence interval is obtained using the following expressions.
The confidence level is 100 (1 –

Lower = – – Z 

2

x

1

n

1

x

2

n

2

n

1

n

1

x

1

1– n

1

x

1

+

n

2

n

2

x

2

1– n

2

x

2

Upper = – + Z 

2

x

1

n

1

x

2

n

2

n

1

n

1

x

1

1– n

1

x

1

+

n

2

n

2

x

2

1– n

2

x

2

n

1

,

n

2

: sample size

x

1

,

x

2

: data

Definition of Terms

C-Level: confidence level (0  C-Level < 1)

x

1

:

data value (integer,

x

1

 0) of sample 1

n

1

:

size of sample 1 (positive integer)

x

2

:

data value (integer,

x

2

 0) of sample 2

n

2

:

size of sample 2 (positive integer)

Calculation Result Output

Lower : interval lower limit (left edge)
Upper : interval upper limit (right edge)

ˆp

1

:

estimated proportion of sample 1

ˆp

2

:

estimated proportion of sample 2

n

1

:

size of sample 1

n

2

:

size of sample 2

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