How Do You Find A P Value
A hypothesis test is a formal statistical test nosotros use to reject or fail to reject a statistical hypothesis.
Whether we acquit a hypothesis examination for a mean, a proportion, a deviation in ways, or a deviation in proportions, we ofttimes end upward with a t statistic for our test.
In one case we have a t statistic, we can then observe a corresponding p-value that nosotros can employ to reject or fail to reject the null hypothesis of our test.
This tutorial explains three unlike ways to discover a p-value from a t statistic.
Three Ways to Find a P-Value from a t Statistic
In each of the following examples, nosotros'll find the p-value for a right-tailed test with a t statistic of one.441and13degrees of freedom.
Technique 1: t Score to P Value Calculator
The commencement way to discover a p-value from a t statistic is to use an online computer similar the T Score to P Value Reckoner. We tin can simply enter the value for t and the degrees of freedom, then select "one-tailed", then click the "Calculate" button:
The corresponding p-value is 0.08662.
Technique 2: t Distribution Tabular array
Another way to notice the p-value for a given t statistic is to apply the t distribution table.
Using the table, look up the row that has degrees of freedom (DF) = 13, then observe the values that 1.441 lies betwixt. It turns out to be 1.35 and 1.771. Next, look up at the summit of the table for "one-tail" and y'all'll notice that these values correspond with 0.1 and 0.05. This tells us that the respective p-value is somewhere between 0.05 and 0.1.
Find the drawback of using the t distribution table: it does not tell u.s. the exact p-value; it only gives united states a range of values.
Technique 3: TI-83 or TI-84 Calculator
Some other style to find the p-value for a given t statistic is to employ a graphing calculator like a TI-83 or TI-84.
On your calculator, click 2ND VARS (to become to DISTR), scroll down, and click the tcdf part. The syntax to use this function to find the p-value for a right-tailed test is equally follows:
tcdf(smaller value, larger value, degrees of liberty)
Since nosotros are conducting a right-tailed test, nosotros tin can employ ane.441 equally the smaller value, 9999 as the larger value, and 13 equally the degrees of freedom:
tcdf(1.441, 9999, 13)
This returns a value of 0.08662, which matches the p-value that nosotros got from the online calculator.
Source: https://www.statology.org/p-value-from-t-statistic/
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