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Pooled Sample Proportion Formula

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Pooled Sample Proportion is the combined proportion of successes from two or more independent samples. Check FAQs

P Pooled = \frac{(N X \cdot P X) + (N Y \cdot P Y)}{N X + N Y}

P_Pooled - Pooled Sample Proportion?N_X - Size of Sample X?P_X - Proportion of Sample X?N_Y - Size of Sample Y?P_Y - Proportion of Sample Y?

Pooled Sample Proportion Example

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Here is how the Pooled Sample Proportion equation looks like with Values.

Here is how the Pooled Sample Proportion equation looks like with Units.

Here is how the Pooled Sample Proportion equation looks like.

0.75 = \frac{(10 \cdot 0.6) + (30 \cdot 0.8)}{10 + 30}

0.75 = \frac{(10 \cdot 0.6) + (30 \cdot 0.8)}{10 + 30}

0.75 = \frac{(10 \cdot 0.6) + (30 \cdot 0.8)}{10 + 30}

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Pooled Sample Proportion Solution

Follow our step by step solution on how to calculate Pooled Sample Proportion?

FIRST Step Consider the formula

P Pooled = \frac{(N X \cdot P X) + (N Y \cdot P Y)}{N X + N Y}

Next Step Substitute values of Variables

∴

P Pooled = \frac{(10 \cdot 0.6) + (30 \cdot 0.8)}{10 + 30}

Next Step Prepare to Evaluate

∴

P Pooled = \frac{(10 \cdot 0.6) + (30 \cdot 0.8)}{10 + 30}

LAST Step Evaluate

∴

P Pooled = 0.75

Pooled Sample Proportion Formula Elements

Variables

Pooled Sample Proportion

Pooled Sample Proportion is the combined proportion of successes from two or more independent samples.

Symbol: P_Pooled

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Pooled Sample Proportion

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.

Symbol: N_X

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Size of Sample X

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.

Symbol: P_X

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Proportion of Sample X

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.

Symbol: N_Y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Size of Sample Y

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.

Symbol: P_Y

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Proportion of Sample Y

Other formulas in Proportion category

Go Population Proportion

P Population = \frac{N Success}{N Population}

Go Sample Proportion

P Sample = \frac{N Success}{N}

How to Evaluate Pooled Sample Proportion?

Pooled Sample Proportion evaluator 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 evaluate 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 evaluate Pooled Sample Proportion using this online evaluator? To use this online evaluator 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.

FAQs on Pooled Sample Proportion

What is the formula to find Pooled Sample Proportion?

The formula of Pooled Sample Proportion is expressed as 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). Here is an example- 0.733333 = ((10*0.6)+(30*0.8))/(10+30).

How to calculate Pooled Sample Proportion?

With Size of Sample X (N_X), Proportion of Sample X (P_X), Size of Sample Y (N_Y) & Proportion of Sample Y (P_Y) we can find Pooled Sample Proportion using the 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).

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Pooled Sample Proportion Formula

Pooled Sample Proportion Example

Pooled Sample Proportion Solution

Pooled Sample Proportion Formula Elements

Other formulas in Proportion category

How to Evaluate Pooled Sample Proportion?

FAQs on Pooled Sample Proportion

Variable Name