The onesample statistic for testing h040 ha40 from a sample

The one-sample statistic for testing h0:=40 ha:40 from a sample of n=28 observations has the value t=2.01.

Locate the two critical values that bracket , from Table D. If you have software available, find the exact -value. Give your answer to 4 decimal places. Fill in the blank:

The p-value is: _______ .

Solution

Here n=28 so degree of freedom is df=n-1=28-1=27. Since test is two tailed so for df=27 and t=2.01, p-value of the test is 0.0542.

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Note:

From t-table , t=2.01 for df=27 is lies between 1.703 and 2.052. So p-value lies between

0.05 < p-value< 0.10