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Sample Size given P Value Formula

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Sample Size is the total number of individuals or items included in a specific sample. Check FAQs

N = \frac{(P^{2}) \cdot P 0(Population) \cdot (1 - P 0(Population))}{{(P Sample - P 0(Population))}^{2}}

N - Sample Size?P - P Value of Sample?P_{0(Population)} - Assumed Population Proportion?P_Sample - Sample Proportion?

Sample Size given P Value Example

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Here is how the Sample Size given P Value equation looks like with Values.

Here is how the Sample Size given P Value equation looks like with Units.

Here is how the Sample Size given P Value equation looks like.

10.14 = \frac{({0.65}^{2}) \cdot 0.6 \cdot (1 - 0.6)}{{(0.7 - 0.6)}^{2}}

10.14 = \frac{({0.65}^{2}) \cdot 0.6 \cdot (1 - 0.6)}{{(0.7 - 0.6)}^{2}}

10.14 = \frac{({0.65}^{2}) \cdot 0.6 \cdot (1 - 0.6)}{{(0.7 - 0.6)}^{2}}

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Basic Formulas in Statistics » fx Sample Size given P Value

Sample Size given P Value Solution

Follow our step by step solution on how to calculate Sample Size given P Value?

FIRST Step Consider the formula

N = \frac{(P^{2}) \cdot P 0(Population) \cdot (1 - P 0(Population))}{{(P Sample - P 0(Population))}^{2}}

Next Step Substitute values of Variables

∴

N = \frac{({0.65}^{2}) \cdot 0.6 \cdot (1 - 0.6)}{{(0.7 - 0.6)}^{2}}

Next Step Prepare to Evaluate

∴

N = \frac{({0.65}^{2}) \cdot 0.6 \cdot (1 - 0.6)}{{(0.7 - 0.6)}^{2}}

LAST Step Evaluate

∴

N = 10.14

Sample Size given P Value Formula Elements

Variables

Sample Size

Sample Size is the total number of individuals or items included in a specific sample.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Size

P Value of Sample

P Value of Sample is the probability associated with a statistical test, indicating the likelihood of obtaining the observed results or more extreme results if the null hypothesis is true.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find P Value of Sample

Assumed Population Proportion

Assumed Population Proportion is the proportion used in statistical hypothesis testing when the true proportion of a population is unknown and is assumed for analysis.

Symbol: P_{0(Population)}

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Assumed Population Proportion

Sample Proportion

Sample Proportion is the ratio of the number of successes in a sample to the total size of the sample.

Symbol: P_Sample

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Sample Proportion

Other formulas in Basic Formulas in Statistics category

Go Number of Classes given Class Width

N Class = \frac{Max - Min}{w Class}

Go Class Width of Data

w Class = \frac{Max - Min}{N Class}

Go Number of Individual Values given Residual Standard Error

n = (\frac{RSS}{{RSE}^{2}}) + 1

Go P Value of Sample

P = \frac{P Sample - P 0(Population)}{\sqrt{\frac{P 0(Population) \cdot (1 - P 0(Population))}{N}}}

How to Evaluate Sample Size given P Value?

Sample Size given P Value evaluator uses Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2) to evaluate the Sample Size, Sample Size given P Value formula is defined as the total number of individuals or items included in a specific sample, and calculated using the P value of the sample data. Sample Size is denoted by N symbol.

How to evaluate Sample Size given P Value using this online evaluator? To use this online evaluator for Sample Size given P Value, enter P Value of Sample (P), Assumed Population Proportion (P_{0(Population)}) & Sample Proportion (P_Sample) and hit the calculate button.

FAQs on Sample Size given P Value

What is the formula to find Sample Size given P Value?

The formula of Sample Size given P Value is expressed as Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2). Here is an example- 10.14 = ((0.65^2)*0.6*(1-0.6))/((0.7-0.6)^2).

How to calculate Sample Size given P Value?

With P Value of Sample (P), Assumed Population Proportion (P_{0(Population)}) & Sample Proportion (P_Sample) we can find Sample Size given P Value using the formula - Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2).

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Sample Size given P Value Formula

Sample Size given P Value Example

Sample Size given P Value Solution

Sample Size given P Value Formula Elements

Other formulas in Basic Formulas in Statistics category

How to Evaluate Sample Size given P Value?

FAQs on Sample Size given P Value

Variable Name