The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject $$ \mathrm{H}_{0} $$ when the level of significance is (a) $$ \alpha=0.01 $$, (b) $$ \alpha=0.05 $$, and (c) $$ \alpha=0.10 $$. $$ \mathrm{P}=0.0447 $$ (a) Do you reject or fail to reject $$ \mathrm{H}_{0} $$ at the 0.01 level of significance? A. Reject $$ \mathrm{H}_{0} $$ because the P -value, 0.0447 , is less than $$ \alpha=0.01 $$. Cail to reject $$ \mathrm{H}_{0} $$ because the P -value, 0.0447 , is greater than $$ \alpha=0.01 $$. Fail to reject $$ \mathrm{H}_{0} $$ because the P -value, 0.0447 , is less than $$ \alpha=0.01 $$. D. Reject $$ \mathrm{H}_{0} $$ because the $$ \mathrm{P}_{ ext {-value, }} 0.0447 $$, is greater than $$ \alpha=0.01 $$. (b) Do you reject or fail to reject $$ \mathrm{H}_{0} $$ at the 0.05 level of significance?

Question

The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject $$ \mathrm{H}_{0} $$ when the level of significance is (a) $$ \alpha=0.01 $$, (b) $$ \alpha=0.05 $$, and (c) $$ \alpha=0.10 $$. $$ \mathrm{P}=0.0447 $$ (a) Do you reject or fail to reject $$ \mathrm{H}_{0} $$ at the 0.01 level of significance? A. Reject $$ \mathrm{H}_{0} $$ because the P -value, 0.0447 , is less than $$ \alpha=0.01 $$. Cail to reject $$ \mathrm{H}_{0} $$ because the P -value, 0.0447 , is greater than $$ \alpha=0.01 $$. Fail to reject $$ \mathrm{H}_{0} $$ because the P -value, 0.0447 , is less than $$ \alpha=0.01 $$. D. Reject $$ \mathrm{H}_{0} $$ because the $$ \mathrm{P}_{	ext {-value, }} 0.0447 $$, is greater than $$ \alpha=0.01 $$. (b) Do you reject or fail to reject $$ \mathrm{H}_{0} $$ at the 0.05 level of significance?

Hanson Watkins · Accepted Answer

a. Fail to reject $$ \mathrm{H}_{0} $$ at the 0.01 level of significance. b. Reject $$ \mathrm{H}_{0} $$ at the 0.05 level of significance.

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