Question

When the following hypotheses are being tested at a level of significance of α,

H0: μ ≥ 500 Ha: μ < 500

the null hypothesis will be rejected if

a) p-value ≤ 1 − α/2

b) p-value = α/2

c) p-value > α

d) p-value ≤ α

Answer 1

The hypothesis of the test is :-

H0: μ ≥ 500

Ha: μ < 500

We know that the null hypothesis is rejected if p value is less than significance level.

value <a rejection of null hypothesis p-value > a= accept the null hypothesis

So, option d is correct option.