Sample Size given P Value Calculator

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✖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.ⓘ P Value of Sample [P]			+10% -10%
✖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.ⓘ Assumed Population Proportion [P_{0(Population)}]			+10% -10%
✖Sample Proportion is the ratio of the number of successes in a sample to the total size of the sample.ⓘ Sample Proportion [P_Sample]			+10% -10%

✖Sample Size is the total number of individuals or items included in a specific sample.ⓘ Sample Size given P Value [N]

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Sample Size given P Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2)
N = ((P^2)*P_{0(Population)}*(1-P_{0(Population)}))/((P_Sample-P_{0(Population)})^2)
This formula uses 4 Variables

Variables Used

Sample Size - Sample Size is the total number of individuals or items included in a specific sample.
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.
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.
Sample Proportion - Sample Proportion is the ratio of the number of successes in a sample to the total size of the sample.

STEP 1: Convert Input(s) to Base Unit

P Value of Sample: 0.65 --> No Conversion Required
Assumed Population Proportion: 0.6 --> No Conversion Required
Sample Proportion: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = ((P^2)*P_{0(Population)}*(1-P_{0(Population)}))/((P_Sample-P_{0(Population)})^2) --> ((0.65^2)*0.6*(1-0.6))/((0.7-0.6)^2)

Evaluating ... ...

N = 10.14

STEP 3: Convert Result to Output's Unit

10.14 --> No Conversion Required

FINAL ANSWER

10.14 <-- Sample Size

(Calculation completed in 00.004 seconds)

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< Basic Formulas in Statistics Calculators

P Value of Sample

LaTeX Go P Value of Sample = (Sample Proportion-Assumed Population Proportion)/sqrt((Assumed Population Proportion*(1-Assumed Population Proportion))/Sample Size)

Number of Classes given Class Width

LaTeX Go Number of Classes = (Largest Item in Data-Smallest Item in Data)/Class Width of Data

Class Width of Data

LaTeX Go Class Width of Data = (Largest Item in Data-Smallest Item in Data)/Number of Classes

Number of Individual Values given Residual Standard Error

LaTeX Go Number of Individual Values = (Residual Sum of Squares/(Residual Standard Error of Data^2))+1

Sample Size given P Value Formula

LaTeX Go

What is P value in Statistics?

The p value is a number, calculated from a statistical test, that describes how likely you are to have found a particular set of observations if the null hypothesis were true.
P values are used in hypothesis testing to help decide whether to reject the null hypothesis. The smaller the p value, the more likely you are to reject the null hypothesis.
The p value, or probability value, tells you how likely it is that your data could have occurred under the null hypothesis. It does this by calculating the likelihood of your test statistic, which is the number calculated by a statistical test using your data.

How to Calculate Sample Size given P Value?

Sample Size given P Value calculator uses Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2) to calculate 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 calculate Sample Size given P Value using this online calculator? To use this online calculator 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. Here is how the Sample Size given P Value calculation can be explained with given input values -> 10.14 = ((0.65^2)*0.6*(1-0.6))/((0.7-0.6)^2).

FAQ

What is Sample Size given P Value?

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 and is represented as N = ((P^2)*P_{0(Population)}*(1-P_{0(Population)}))/((P_Sample-P_{0(Population)})^2) or Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2). 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, 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 & Sample Proportion is the ratio of the number of successes in a sample to the total size of the sample.

How to calculate Sample Size given P Value?

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 is calculated using Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2). To calculate Sample Size given P Value, you need P Value of Sample (P), Assumed Population Proportion (P_{0(Population)}) & Sample Proportion (P_Sample). With our tool, you need to enter the respective value for P Value of Sample, Assumed Population Proportion & Sample Proportion 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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