Pooled Sample Proportion Calculator

✖Size of Sample X is the number of individuals or items in Sample X. It represents the specific sample used for analysis and inference regarding the characteristic or outcome of interest.ⓘ Size of Sample X [N_X]			+10% -10%
✖Proportion of Sample X is the ratio of the number of successes in Sample X to the total size of Sample X. It indicates the fraction of Sample X that exhibits a specific characteristic or outcome.ⓘ Proportion of Sample X [P_X]			+10% -10%
✖Size of Sample Y is the number of individuals or items in Sample Y. It represents the specific sample used for analysis and inference, allowing comparisons with Sample X or other groups.ⓘ Size of Sample Y [N_Y]			+10% -10%
✖Proportion of Sample Y is the ratio of the number of successes in Sample Y to the total size of Sample Y. It represents the fraction of Sample Y that exhibits a specific characteristic or outcome.ⓘ Proportion of Sample Y [P_Y]			+10% -10%

✖Pooled Sample Proportion is the combined proportion of successes from two or more independent samples.ⓘ Pooled Sample Proportion [P_Pooled]

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Formula

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Pooled Sample Proportion

Formula

`"P"_{"Pooled"} = (("N"_{"X"}*"P"_{"X"})+("N"_{"Y"}*"P"_{"Y"}))/("N"_{"X"}+"N"_{"Y"})`

Example

`"0.75"=(("10"*"0.6")+("30"*"0.8"))/("10"+"30")`

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Pooled Sample Proportion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pooled Sample Proportion = ((Size of Sample X*Proportion of Sample X)+(Size of Sample Y*Proportion of Sample Y))/(Size of Sample X+Size of Sample Y)
P_Pooled = ((N_X*P_X)+(N_Y*P_Y))/(N_X+N_Y)
This formula uses 5 Variables

Variables Used

Pooled Sample Proportion - Pooled Sample Proportion is the combined proportion of successes from two or more independent samples.
Size of Sample X - Size of Sample X is the number of individuals or items in Sample X. It represents the specific sample used for analysis and inference regarding the characteristic or outcome of interest.
Proportion of Sample X - Proportion of Sample X is the ratio of the number of successes in Sample X to the total size of Sample X. It indicates the fraction of Sample X that exhibits a specific characteristic or outcome.
Size of Sample Y - Size of Sample Y is the number of individuals or items in Sample Y. It represents the specific sample used for analysis and inference, allowing comparisons with Sample X or other groups.
Proportion of Sample Y - Proportion of Sample Y is the ratio of the number of successes in Sample Y to the total size of Sample Y. It represents the fraction of Sample Y that exhibits a specific characteristic or outcome.

STEP 1: Convert Input(s) to Base Unit

Size of Sample X: 10 --> No Conversion Required
Proportion of Sample X: 0.6 --> No Conversion Required
Size of Sample Y: 30 --> No Conversion Required
Proportion of Sample Y: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Pooled = ((N_X*P_X)+(N_Y*P_Y))/(N_X+N_Y) --> ((10*0.6)+(30*0.8))/(10+30)

Evaluating ... ...

P_Pooled = 0.75

STEP 3: Convert Result to Output's Unit

0.75 --> No Conversion Required

FINAL ANSWER

0.75 <-- Pooled Sample Proportion

(Calculation completed in 00.004 seconds)

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< 3 Proportion Calculators

Pooled Sample Proportion

Go Pooled Sample Proportion = ((Size of Sample X*Proportion of Sample X)+(Size of Sample Y*Proportion of Sample Y))/(Size of Sample X+Size of Sample Y)

Population Proportion

Go Population Proportion = Number of Successes/Population Size

Sample Proportion

Go Sample Proportion = Number of Successes/Sample Size

Pooled Sample Proportion Formula

Pooled Sample Proportion = ((Size of Sample X*Proportion of Sample X)+(Size of Sample Y*Proportion of Sample Y))/(Size of Sample X+Size of Sample Y)
P_Pooled = ((N_X*P_X)+(N_Y*P_Y))/(N_X+N_Y)

What is a Statistical Proportion and it's importance?

In Statistics, some particular numerical ratios which connects some important variables or parameters associated with the given data or distribution are called statistical proportions. Comparison of multiple data is the main advantage of these proportions. In statistical data analysis various proportions has a wide applications. For example, at the time of comparing two different data, comparing the performance of a company with last year performance, comparing the quality of one set of products to the next set of products, etc if we compare a fixed proportion of each group of data, we can take many useful conclusions.

How to Calculate Pooled Sample Proportion?

Pooled Sample Proportion calculator uses Pooled Sample Proportion = ((Size of Sample X*Proportion of Sample X)+(Size of Sample Y*Proportion of Sample Y))/(Size of Sample X+Size of Sample Y) to calculate the Pooled Sample Proportion, Pooled Sample Proportion formula is defined as the combined proportion of successes from two or more independent samples. Pooled Sample Proportion is denoted by P_Pooled symbol.

How to calculate Pooled Sample Proportion using this online calculator? To use this online calculator for Pooled Sample Proportion, enter Size of Sample X (N_X), Proportion of Sample X (P_X), Size of Sample Y (N_Y) & Proportion of Sample Y (P_Y) and hit the calculate button. Here is how the Pooled Sample Proportion calculation can be explained with given input values -> 0.733333 = ((10*0.6)+(30*0.8))/(10+30).

FAQ

What is Pooled Sample Proportion?

Pooled Sample Proportion formula is defined as the combined proportion of successes from two or more independent samples and is represented as P_Pooled = ((N_X*P_X)+(N_Y*P_Y))/(N_X+N_Y) or Pooled Sample Proportion = ((Size of Sample X*Proportion of Sample X)+(Size of Sample Y*Proportion of Sample Y))/(Size of Sample X+Size of Sample Y). Size of Sample X is the number of individuals or items in Sample X. It represents the specific sample used for analysis and inference regarding the characteristic or outcome of interest, Proportion of Sample X is the ratio of the number of successes in Sample X to the total size of Sample X. It indicates the fraction of Sample X that exhibits a specific characteristic or outcome, Size of Sample Y is the number of individuals or items in Sample Y. It represents the specific sample used for analysis and inference, allowing comparisons with Sample X or other groups & Proportion of Sample Y is the ratio of the number of successes in Sample Y to the total size of Sample Y. It represents the fraction of Sample Y that exhibits a specific characteristic or outcome.

How to calculate Pooled Sample Proportion?

Pooled Sample Proportion formula is defined as the combined proportion of successes from two or more independent samples is calculated using Pooled Sample Proportion = ((Size of Sample X*Proportion of Sample X)+(Size of Sample Y*Proportion of Sample Y))/(Size of Sample X+Size of Sample Y). To calculate Pooled Sample Proportion, you need Size of Sample X (N_X), Proportion of Sample X (P_X), Size of Sample Y (N_Y) & Proportion of Sample Y (P_Y). With our tool, you need to enter the respective value for Size of Sample X, Proportion of Sample X, Size of Sample Y & Proportion of Sample Y and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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