7-10-4

Confidence Intervals

Input Example:

Syntax 1 (list format)

TwoSampleZInt 0.95,1,1.5,list1,list2,1,1

Syntax 2 (parameter format)

TwoSampleZInt 0.95,1,1.5,418,40,402,50

Calculation Result Output

Left : interval lower limit (left edge)

Right : interval upper limit (right edge)

o1 : mean of sample 1 data

o2 : mean of sample 2 data

x1σn-1 : standard deviation of sample 1 (Displayed only for list format.)

x2σn-1 : standard deviation of sample 2 (Displayed only for list format.)

n1 : size of sample 1

n2 : size of sample 2

1-Prop Z Interval

Command: OnePropZInt ￿

Description: This command obtains the confidence interval of the proportion of successes in a population.

The confidence interval is obtained using the following expressions.

The confidence level is 100 (1 – α)%.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n: sample size

 

x

 

 

 

 

α

1

 

x

 

x

Left =

 

 

 

– Z

 

 

 

 

 

 

 

 

 

 

 

 

1–

 

 

 

 

x: data

n

 

 

2

 

 

 

n

n

n

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Right =

 

x

+ Z

 

 

α

1 x

1–

x

 

 

n

 

 

2

 

 

 

n

 

n

n

 

 

Command Syntax

C-Level value, x value, n value

Definition of Terms

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

x : data (0 or positive integer)

n : sample size (positive integer)

Input Example:

OnePropZInt 0.95,600,800

Calculation Result Output

Left : interval lower limit (left edge)

Right : interval upper limit (right edge)

pˆ : estimated sample proportion

n : sample size

20021201