Assume a significance level of $$ \alpha=0.01 $$ and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 12 bpm. The hypothesis test results in a P-value of 0.3434 . a. State a conclusion about the null hypothesis. (Reject $$ H_{0} $$ or fail to reject $$ H_{0} $$.) Choose the correct answer below. A. Reject $$ H_{0} $$ because the P -value is less than or equal to $$ \alpha $$. B. Fail to reject $$ H_{0} $$ because the P-value is greater than $$ \alpha $$. C. Fail to reject $$ H_{0} $$ because the $$ P $$-value is less than or equal to $$ \alpha $$. D. Reject $$ H_{0} $$ because the P -value is greater than $$ \alpha $$.

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UpStudy AI · Accepted Answer

1. Given that $$\alpha = 0.01$$ and the computed P-value is $$0.3434$$, we observe that:
   $$
   0.3434 > 0.01
   $$

2. Because the P-value is greater than $$\alpha$$, we do not have sufficient evidence to reject the null hypothesis $$H_0$$.

3. The correct conclusion is to fail to reject $$H_0$$.

Thus, the correct answer is:

B. Fail to reject $$ H_{0} $$ because the P-value is greater than $$\alpha$$.
Fail to reject $$ H_{0} $$ because the P-value is greater than $$\alpha$$.

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