Suppose that before we conduct a hypothesis test we pick a significance level of ?. When the test is conducted, we get a p-value of 0.023. Given this p-value, we
a. can reject the null hypothesis for any significance level, ?, greater than 0.023.
b. cannot reject the null hypothesis for a significance level, ?, greater than 0.023.
c. can reject the null hypothesis for a significance level, ?, less than 0.023.
d. draw no conclusion about the null hypothesis.
Answer Option A. Can reject the null hypothesis for any any
significance level,
, greater than 0.023.
Explation: in
statistical inference testing we need
(The level of significane, i.e. the chance of commiting type-I
error ) and P-value which varies between 0 to 1. and p-value shows
evidence against the null hypothesis, if the p-value is low then it
shows stronger evidence favouring alternative hypothesis. in
hypotisis testing we compare both the
with P - value
if
> P-Value H0 (Null Hypothesis is rejected) and
Alternative Hypothesis is accepted
if
< P-Value H0 (Null Hypothesis is accepted)
as per the question P-value is 0.023, and if any significance
level
> 0.023, then we can rejecte the null hypothesis and accept the
alternative hypothesis.
Get Answers For Free
Most questions answered within 1 hours.