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How to Use Continuity Correction Calculator?

To calculate the continuity correction factor, follow the below steps:

  • Enter the “number of trials”. 
  • Enter the “number of successes”.
  • Enter the “probability of success”.
  • Hit the “Calculate” button to check the results.
  • You can erase all the data by clicking on the “Reset” button

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Continuity Correction Calculator


Continuity Correction Calculator


The continuity Correction Calculator is used to check how to restate a binomial probability problem by applying normal distribution to approximate a binomial distribution.


What is Continuity correction?


In statistics, continuity correction is used to approximate a discrete probability distribution. It is used to change a discrete random variable into a continuous random variable.  

Generally, “0.5” is added and subtracted for the continuity correction from the discrete value.


Example section:


In this section, the statistical examples are given to understand the method of finding the continuity correction factor:

Example 1:

Calculate the continuity correction factor if the number of successes is 75 out of 105 trials and the probability of success is 0.65.

Solution:

Step 1: Extract the data

Number of trials = N = 105

Number of successes = n = 75

Probability of success = p = 0.65

Step 2: Draw a table

Using binomial distribution

Continuity correction

Approximated probability

P (x = 75)

P (74.5 < x < 75.5)

0.9329 − 0.9008 = 0.0321

P (x  75)

P (x < 75.5)

0.9329

P (x < 75)

P (x < 74.5)

0.9008

P (x 75)

P (x > 74.5)

1 - 0.9008 = 0.0992

P (x > 75)

P (x > 75.5)

1 - 0.9329 = 0.0671

Example 2:

Calculate the continuity correction factor if the number of successes is 64, the number of trials is 98, and the probability of success is 0.65.

Solution:

Step 1: Extract the data

Number of trials = N = 98

Number of successes = n = 64

Probability of success = p = 0.65

Step 2: Draw a table

Using binomial distribution

Continuity correction

Approximated probability

P (x = 64)

P (63.5 < x < 64.5)

0.5631 − 0.4789 = 0.0842

P (x ≤ 64)

P (x < 64.5)

0.5631

P (x < 64)

P (x < 63.5)

0.4789

P (x ≥ 64)

P (x > 63.5)

1 − 0.4789 = 0.5211

P (x > 64)

P (x > 64.5)

1 − 0.5631 = 0.4369

 


References:


What is continuity correction? | Statistics How To.

Continuity correction factor | cs.uni.edu

Overview to Continuity correction | Oxford Reference.

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