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Proportion Z Interval Calculator

Confidence Interval for Population Proportion.

screenshot

 

Example

Find the 0.99 confidence interval for 2048 successes in 4040 trials.

Value Keystroke Display Description
.99 C Level 0.99 Stores the C Level value.
4040 n 4040 Stores the n value.
2048 ÷ ROLL p̂ 0.5069 Stores the  p̂ value.
  Z Int 0.04052 Calculates the Z Interval

The keystrokes '÷ ROLL p̂' are in CHN calculation mode. Since the 4040 value was just entered, tapping 'ROLL' saves you from having to re-enter the n value.
In ALG calculation mode, the keystrokes would be '÷ rgx p̂'.
In RPN calculation mode, the keystrokes would be 'SWAP ÷ STO p̂'.

This calculator also calculates the upper and lower limits and enters them in the stack.
By returning these values to the stack you can use them for other calculations without having to write them down and re-enter them.

Value Keystroke Display Description

ROLL 0.4867 The lower limit

ROLL 0.5272 The upper limit

The History Detail

Proportion Z Interval
         0.5272 : The upper limit.
         0.4867 : The lower limit.
           0.99 : The confidence level.
          4,040 : The number of trials, n.
         0.5069 : The proportion estimate, p̂.
        0.04052 : The Confidence Interval for Population Proportion..

Note that you can enter a "Z Int" value and solve for the C Level, n or p̂.

Reference:

Confidence Interval - Wikipedia