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March 29th, 2018, 06:14 AM   #1
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P-value for paired t test

How to compute the p-value?

Here is my working: null hypothesis : mean(d) > 0
alternative hypothesis : mean(d)≤ 0
Using paired t-test, I calculated the differences and got test statistic as 5.805, which is the right value.

However, I am lost for computing the p-value. I take it that this is a 1-tail test.
From the table provided, at df = 5, a = 0.05, critical value is 2.015.
This means that 0.005 (4.032) <p < 0.0005 (6.869).
Thus, I have to reject null hypothesis. But it doesn't make sense, I know I do not reject it.
May I ask where did I go wrong in calculating my p value? I know it has to be greater than 0.05.

Any help is appreciated!
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