Question

Given Upper H 0 H0​: mu μ equals =​25, Upper H Subscript a Ha​: mu μ not equals ≠​25, and P equals = 0.023 0.023. Do you reject or fail to reject Upper H 0 H0 at the 0.01 level of​ significance?

Answer 1

here, our hypothesis is:-

p value = 0.023

level of significance () = 0.01

general theory:-

if p value of a hypothesis test < level of significance () , then we get evidence to reject our null hypothesis. otherwise we fail to reject the null hypothesis.

interpretation in context to the problem:-

here p value= 0.023

at alpha=0.01 , p value = 0.023 >0.01, so we do not have enough evidence to reject our null hypothesis.

so , we conclude that , we fail to reject H ₀ at the  0.01 level of significance.

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