\"The p-value of a two-sides test is equal to Pr(T<=[t]), where T has the approp

Question

"The p-value of a two-sides test is equal to Pr(T<=[t]), where T has the appropriate t-distribution and t is the value that was actually obtained." True or false? If false explain. How about "The p-value of a two-sided test is equal to 2•Pr(T<=-[t]), where T has the appropriate t-distribution and t is the value that was actually obtained." True or false? If false explain. And "The p-value of a one-sides test is equal to Pr(T>=[t]), where T has the appropriate t-distribution and t is the value that was actually obtained." True or false? If false explain "The p-value of a two-sides test is equal to Pr(T<=[t]), where T has the appropriate t-distribution and t is the value that was actually obtained." True or false? If false explain. How about "The p-value of a two-sided test is equal to 2•Pr(T<=-[t]), where T has the appropriate t-distribution and t is the value that was actually obtained." True or false? If false explain. And "The p-value of a one-sides test is equal to Pr(T>=[t]), where T has the appropriate t-distribution and t is the value that was actually obtained." True or false? If false explain

Explanation / Answer

1. False. The p value for 2 sided t test is 2*P(T<=t)

2. True.

3. False. The p value for one sided t test is P(T<=t).

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