Can someone show me how to use the table? I know that T is 0.745 but how do I find P and use the table.

[img]https://media.cheggcdn.com/media%2F449%2F449a694b-eeab-4b17-b8f9-339b1b7f263c%2FphpFR2xCP.png[/img]

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# Solved – Can someone show me how to use the t-table and find p? Hypothesis testing

hypothesis testing

Can someone show me how to use the table? I know that T is 0.745 but how do I find P and use the table.

[img]https://media.cheggcdn.com/media%2F449%2F449a694b-eeab-4b17-b8f9-339b1b7f263c%2FphpFR2xCP.png[/img]

## Best Answer

Notice two things in the table.

For a given value of $\nu$, an increase of the $t$-value corresponds to a decrease of the $\alpha$-level (or p-value). That means high $t$-values are rarer when the null-hypothesis is true (if you observe a high $t$-value then this is 'special').

For a given $\alpha$-level the t-values to obtain this level are lower when $\nu$ increases.

(sidenote: the table is for positive t-values, but the same can be done for negative t-values)

Intuitively: you find the t-value by dividing the mean by the

estimateof the variance. This estimate of the variance is a variable whose variance depends on the size of the sample. Every time you perform an experiment it will be different, and the smaller the sample the larger this difference.So a smaller sample size will cause the $t$-score to differ to a larger extent from experiment to experiment. When your sample is smaller, then the variance in the $t$-score will be larger and therefore larger $t$-score values will be less 'special'.

You should look at the row for $\nu = 29$

You are not gonna find the value exactly but, what kind of $\alpha$ or $p$ does the t-value $0.745$ correspond to? Between which two $p$ values should it be?