True or False. Please Explain your reasoning a) (2 points) A p-value tells you t

Question

True or False. Please Explain your reasoning

a) (2 points) A p-value tells you the probability that the null hypothesis is true.

b) (2 points) It is possible for a hypothesis test procedure to reject the null hypothesis even when the null hypothesis is true.

c) (2 points) Consider the null hypothesis H0 : µ = µ0 versus a one-sided greater alternative HA : µ > µ0. For a fixed significance level ? the critical value z1?? will be greater than the critical value t(4)1?? (i.e., the critical value for a t-distribution with 4 degrees of freedom).

Explanation / Answer

a)

False; as p value is probability of getting statistic as received from sample or more extreme given null hypothesis is true

b)

true ; as we can have a sample which is on extreme side and does not represent population and therefore can given test statsitic which will led to rjeect null hypothesis

c)

false ; as critical t will be always greater than critial z.

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