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Chapter 10: Q. 71. (page 672)

The P-value for the stated hypotheses is 0.002Interpret 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 0.002probability 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

Expert verified

The required correct option is(b)

Step by step solution

01

Given information

It is given,

P=0.002

02

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 0.002chance of getting an observed difference at least as extreme as the observed difference.

Therefore, the option (b)is the correct option.

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