Question

for a hypothesis test the p-value was computed tl be 0.03421

which of the following would be correct conclusion.

a. fail to reject H0 at a significance level of 0.05

b. fail to reject H0 at a significance level of 0.1

c. reject H0 at a significance level of 0.01

d. reject H0 at a significance level of 0.025

e.. reject H0 at a significance level of 0.05

Answer 1

The p value approach for rejecting criteria is that

Reject the null hypothesis H0 if p value < significance level=alpha

So here p value =0.03421

a)when alpha =0.05,

p value <0.05 so reject H0

but given that it is fail to reject , so statement is wrong

b) for alpha =0.1

p value <0.1 so we reject H0

but here statement is that fail to reject

So it is also wrong

c) when alpha =0.01

here p value > alpha

so fail to reject H0, but given statement is reject H0, which is wrong

d) when alpha =0.025

p value > alpha , so fail to reject H0

But here in statement it is reject, so this statement is also wrong

e) significance level = alpha =0.05

here p value < alpha

so by p value method, we reject H0

that means reject H0 at a significance level of 0.05

SO THE ANSWER IS OPTION (E)

If you are satisfied with my answer then please give me a thumbs up

Please drop a thumbs up.