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

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Dawson Barker · Accepted Answer

(a) Fail to reject $$ H_{0} $$ because the $$ P $$-value, 0.0447, is greater than $$ \alpha=0.01 $$. (b) Reject $$ H_{0} $$ because the $$ P $$-value, 0.0447, is less than $$ \alpha=0.05 $$.

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