Question: The critical t value for a sample size of 25 is 1.709. The test is right tailed. What is the upper boundary of the p-value in the t test?
A ) 2.060
B ) 0.10
C ) 0.05
D ) 1.711
Steps to derive
1 Degrees of freedom = sample size - 1 = 25 - 1 = 24
[Degrees of freedom = n - 1.]
2 The critical t value is 1.709.
3 See the row in the table with 24 degrees of freedom and find two values between which 1.709 lies.
[Use the t-distribution table.]
4 The corresponding values are 1.318 and 1.711.
5 As the test is right tailed, the corresponding one tail α values are 0.10 and 0.05.
6 So, the P - value lies in the interval between 0.05 and 0.10.
7 That is, the upper boundary of the P - value is 0.10.
Hence the right answer is Option B
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