P Value of Sample Calculator

✖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%
✖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 Size is the total number of individuals or items included in a specific sample.ⓘ Sample Size [N]			+10% -10%

✖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]

⎘ Copy

👎

Formula

✖

P Value of Sample

Formula

`"P" = ("P"_{"Sample"}-"P"_{"0(Population)"})/sqrt(("P"_{"0(Population)"}*(1-"P"_{"0(Population)"}))/"N")`

Example

`"0.645497"=("0.7"-"0.6")/sqrt(("0.6"*(1-"0.6"))/"10")`

Calculator

LaTeX

Reset

👍

Download Basic Formulas in Statistics Formulas PDF PDF Image

P Value of Sample Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Sample Proportion: 0.7 --> No Conversion Required
Assumed Population Proportion: 0.6 --> No Conversion Required
Sample Size: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (P_Sample-P_{0(Population)})/sqrt((P_{0(Population)}*(1-P_{0(Population)}))/N) --> (0.7-0.6)/sqrt((0.6*(1-0.6))/10)

Evaluating ... ...

P = 0.645497224367903

STEP 3: Convert Result to Output's Unit

0.645497224367903 --> No Conversion Required

FINAL ANSWER

0.645497224367903 ≈ 0.645497 <-- P Value of Sample

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Statistics » Basic Formulas in Statistics » P Value of Sample

Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 18 Basic Formulas in Statistics Calculators

P Value of Sample

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

Sample Size given P Value

Go Sample Size = ((P Value of Sample^2)*Assumed Population Proportion*(1-Assumed Population Proportion))/((Sample Proportion-Assumed Population Proportion)^2)

t Statistic of Normal Distribution

Go t Statistic of Normal Distribution = (Sample Mean-Population Mean)/(Sample Standard Deviation/sqrt(Sample Size))

t Statistic

Go t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size))

Chi Square Statistic

Go Chi Square Statistic = ((Sample Size-1)*Sample Standard Deviation^2)/(Population Standard Deviation^2)

Number of Classes given Class Width

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

Class Width of Data

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

Expectation of Difference of Random Variables

Go Expectation of Difference of Random Variables = Expectation of Random Variable X-Expectation of Random Variable Y

Chi Square Statistic given Sample and Population Variances

Go Chi Square Statistic = ((Sample Size-1)*Sample Variance)/Population Variance

Expectation of Sum of Random Variables

Go Expectation of Sum of Random Variables = Expectation of Random Variable X+Expectation of Random Variable Y

Number of Individual Values given Residual Standard Error

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

F Value of Two Samples given Sample Standard Deviations

Go F Value of Two Samples = (Standard Deviation of Sample X/Standard Deviation of Sample Y)^2

Mid Range of Data

Go Mid Range of Data = (Maximum Value of Data+Minimum Value of Data)/2

F Value of Two Samples

Go F Value of Two Samples = Variance of Sample X/Variance of Sample Y

Smallest Item in Data given Range

Go Smallest Item in Data = Largest Item in Data-Range of Data

Largest Item in Data given Range

Go Largest Item in Data = Range of Data+Smallest Item in Data

Range of Data

Go Range of Data = Largest Item in Data-Smallest Item in Data

Relative Frequency

Go Relative Frequency = Absolute Frequency/Total Frequency

P Value of Sample Formula

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 P Value of Sample?

P Value of Sample calculator uses P Value of Sample = (Sample Proportion-Assumed Population Proportion)/sqrt((Assumed Population Proportion*(1-Assumed Population Proportion))/Sample Size) to calculate the P Value of Sample, P Value of Sample formula is defined as 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 is denoted by P symbol.

How to calculate P Value of Sample using this online calculator? To use this online calculator for P Value of Sample, enter Sample Proportion (P_Sample), Assumed Population Proportion (P_{0(Population)}) & Sample Size (N) and hit the calculate button. Here is how the P Value of Sample calculation can be explained with given input values -> 0.912871 = (0.7-0.6)/sqrt((0.6*(1-0.6))/10).

FAQ

What is P Value of Sample?

P Value of Sample formula is defined as 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 and is represented as P = (P_Sample-P_{0(Population)})/sqrt((P_{0(Population)}*(1-P_{0(Population)}))/N) or P Value of Sample = (Sample Proportion-Assumed Population Proportion)/sqrt((Assumed Population Proportion*(1-Assumed Population Proportion))/Sample Size). Sample Proportion is the ratio of the number of successes in a sample to the total size of the sample, 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 Size is the total number of individuals or items included in a specific sample.

How to calculate P Value of Sample?

P Value of Sample formula is defined as 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 is calculated using P Value of Sample = (Sample Proportion-Assumed Population Proportion)/sqrt((Assumed Population Proportion*(1-Assumed Population Proportion))/Sample Size). To calculate P Value of Sample, you need Sample Proportion (P_Sample), Assumed Population Proportion (P_{0(Population)}) & Sample Size (N). With our tool, you need to enter the respective value for Sample Proportion, Assumed Population Proportion & Sample Size and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search