In an application involving 30 df you obtained a t statistic

In an application involving 30 d.f. you obtained a t statistic of 0.68. Since this t
value is not statistically significant even at the 10% level of significance, you
can safely accept the relevant hypothesis. Do you agree with this statement?
What is the p value of obtaining such a statistic?

Solution

In your class, does \"relevant hypothesis\" mean the \"null hypothesis\"? If so, then yes, we agree with the statement.

Using technology, at df = 30, the two tailed and one tailed P values are

one tailed: P = 0.250859298
two tailed: P = 0.501718595 [I included both values, as we don\'t know if the test is one tailed or two tailed.]