Question

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 1

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.