A study of road rage asked random samples of 596 men and 523 women about their behavior while driving. Based on their answers, each person was assigned a road rage score on a scale of 0 to 20. The participants were chosen by random digit dialing of phone numbers. The researchers performed a test of the following hypotheses: Ho: μM=μF versus Ha: μM≠μF.Ho: μM=μF versus Ha: μM=μF. 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. B) Assuming that the true mean road rage score is the same for males and females, there is a 0.002 probability of getting an observed difference at least as extreme as the observed difference. C) Assuming that the true mean road rage score is different for males and females, there is a 0.002 probability of getting an observed difference at least as extreme as the observed difference. 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.
A study of road rage asked random samples of 596 men and 523 women about their behavior while driving. Based on their answers, each person was assigned a road rage score on a scale of 0 to 20. The participants were chosen by random digit dialing of phone numbers. The researchers performed a test of the following hypotheses:
Ho: μM=μF versus Ha: μM≠μF.Ho: μM=μF versus Ha: μM=μF.
The P-value for the stated hypotheses is 0.002. Interpret this value in the context of this study.
A) Assuming that the true
B) Assuming that the true mean road rage score is the same for males and females, there is a 0.002 probability of getting an observed difference at least as extreme as the observed difference.
C) Assuming that the true mean road rage score is different for males and females, there is a 0.002 probability of getting an observed difference at least as extreme as the observed difference.
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.
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