Which of the following would be an appropriate null hypothesis for the one-sample t test of the hypothesis that the mean reaction time of a population of 45 year-old drivers is 0.653 seconds?
A) $ H_{0}: \bar{X}=0.653 $
B) $ H_{0}: \bar{X} \neq 0.653 $
C) $ H_{0}: \mu=0.653 $
D) $ H_{0}: \mu \neq 0.653 $

Question

Quizplus · Accepted Answer

The null hypothesis for a one-sample t test should be a statement about the population mean, which is denoted by the symbol mu (μ). Therefore, option A and B are incorrect because they use the sample mean (x̄) instead of the population mean. Option D is incorrect because it implies a two-tailed test, whereas the question does not provide any information to suggest that the alternative hypothesis should be two-tailed. Therefore, the best choice is C, which states the null hypothesis as "the population mean is 0.653 seconds."

Which of the Following Would Be an Appropriate Null Hypothesis H0:Xˉ=0.653 H_{0}: \bar{X}=0.653 H0​:Xˉ=0.653

Which of the Following Would Be an Appropriate Null Hypothesis $H_{0}: \bar{X}=0.653$