Pairs of Pvalues and significance levels a are given For eac

Pairs of P-values and significance levels, a, are given. For each pair, state whether the observed P-value would lead to rejection of H0 at the given significance level.
a. P-value 5 .084, a 5 .05

b. P-value 5 .003, a 5 .001

c. P-value 5 .498, a 5 .05

d. P-value 5 .084, a 5 .10

e. P-value 5 .039, a 5 .01

f. P-value 5 .218, a 5 .10

Solution

We reject Ho when P-value is less than the given significance level.

(a) Since p-value=0.084 which is larger than 0.05, we do not reject Ho.

(b) Since the p-value=0.003 which is greater than 0.001, we do not reject Ho.

(c) Since the p-value=0.498 is larger than 0.05, we do not reject Ho.

(d) Since the p-value=0.084 is less than 0.1, we reject Ho.

(e) Since the p-value=0.039 is larger than 0.01, we do not reject Ho.

(f) Since the p-value=0.218 is larger than 0.1, we do not reject Ho.