Pairs of P-values and significance levels,?, are given. For each pair, state whether the observed P-value leads to rejection of H0 at the given significance level. Choose reject or fail to reject for each.

(a) P-value =.084,? =.05

reject

fail to reject

(b) P-value =.003,? =.001

reject

fail to reject

(c) P-value =.498,? =.05

reject

fail to reject

(d) P-value =.084,? =.10

reject

fail to reject

(e) P-value =.039,? =.01

reject

fail to reject

(f) P-value =.056,? =.10

reject

fail to reject

a)

fail to reject

b)

fail to reject

c)

fail to reject

d)

reject

e)

fail to reject

f)

reject

Step-by-step explanation:

We are given the p-values and significance level to decide whether the null hypothesis should be rejected or not. We reject the null hypothesis if the p-value is less than significance level and we fail to reject the null hypothesis if the p-value is greater than significance level.

a)

As p-value=0.084 is greater than significance level=0.05, so we fail to reject the null hypothesis.

b)

As p-value=0.003 is greater than significance level=0.001, so we fail to reject the null hypothesis.

c)

As p-value=0.498 is greater than significance level=0.05, so we fail to reject the null hypothesis.

d)

As p-value=0.084 is less than significance level=0.10, so we reject the null hypothesis.

e)

As p-value=0.039 is greater than significance level=0.01, so we fail to reject the null hypothesis.

f)

As p-value=0.056 is less than significance level=0.10, so we reject the null hypothesis.