Question

The P-value for the stated hypotheses is $0.002$Interpret this value in the context of this study.

a. Assuming that the true mean road rage score is the same for males and females, there is a $0.002$probability of getting a difference in sample means equal to the one observed in this study.

b. Assuming that the true mean road rage score is the same for males and females, there is a $0.002$ probability of getting a difference in sample means at least as large in either direction as the one observed in this study.

c. Assuming that the true mean road rage score is different for males and females, there is a $0.002$ probability of getting a difference in sample means at least as large in either direction as the one observed in this study.

d. Assuming that the true mean road rage score is the same for males and females, there is a $0.002$ probability that the null hypothesis is true.

e. Assuming that the true mean road rage score is the same for males and females, there is a $0.002$ probability that the alternative hypothesis is true.

Short answer

The required correct option is$\left(b\right)$

Step-by-step solution

Given information

It is given,

$P=0.002$

Explanation

When the null hypothesis is true, the $P$-value represents the probability of obtaining the observed value or a more extreme value.

The null hypothesis asserts that the true mean road rage score is the same for men and women.

The correct interpretation of the $P$-value is that assuming that the true mean road rage score for males and females differs, there is a $0.002$chance of getting an observed difference at least as extreme as the observed difference.

Therefore, the option $\left(b\right)$is the correct option.