Question

Which of the following are true statements? I. If there is sufficient evidence to reject a null hypothesis at the 5% level, then there is sufficient evidence to reject it at the 1% level. II. Whether to use a one- or two-sided test is typically decided after the data are gathered III. If a hypothesis test is conducted at the 1% level, there is a 1% chance of rejecting the null hypothesis

Answer 1

I. If there is sufficient evidence to reject a null hypothesis at the 5% level, then there is sufficient evidence to reject it at the 1% level.

Ans: True

it means any value less than (p-value) 5%=0.05, we will reject the null hypothesis.,

II. Whether to use a one- or two-sided test is typically decided after the data are gathered

Ans: False, it depends on our research

III. If a hypothesis test is conducted at the 1% level, there is a 1% chance of rejecting the null hypothesis

Ans: True