Question

assume a significance level of $\alpha = 0.01$ and use the given information to complete parts (a) and (b) below.
original claim: the mean pulse rate (in beats per minute) of a certain group of adult males is 75 bpm. the hypothesis test results in a p - value of 0.0009.

a. state a conclusion about the null hypothesis. (reject $h_0$ or fail to reject $h_0$.) choose the correct answer below.
○ a. fail to reject $h_0$ because the p - value is greater than $\alpha$.
○ b. reject $h_0$ because the p - value is less than or equal to $\alpha$.
○ 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 $\alpha$.

Explanation:

Step1: Recall the decision rule for hypothesis testing

In hypothesis testing, if the P - value is less than or equal to the significance level ($\alpha$), we reject the null hypothesis ($H_0$). If the P - value is greater than $\alpha$, we fail to reject $H_0$.

Step2: Compare the P - value and $\alpha$

We are given that $\alpha = 0.01$ and the P - value $=0.0009$.
Since $0.0009<0.01$ (i.e., P - value $\leq\alpha$)

Answer:

B. Reject $H_{0}$ because the P - value is less than or equal to $\alpha$.