A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

Sagot :

Answer: hello the list related to your question is missing hence i will give you a general answer that will enable to pick the correct option from the list you have.

answer :

The correct number from the list that corresponds to the null hypothesis will be a number ≥ P - value / critical value

The correct number form the list that corresponds to the alternate hypothesis will be a number ≤ P - value / critical value

Step-by-step explanation:

Determine the null and alternative hypothesis

Mean difference = 0.914

standard deviation = 1.496

duration of test = 2 days

n ( sample size ) = 40

assuming  99% confidence interval

critical value = 2.708 ( using excel function : TINV (0.01, 40 - 1 ) )

Given that the aim of the experiment is to determine the effect of alcohol on driving ability

H0 : μ : Impairs driving

Ha : μ : does not impair driving

Note :

when the P-value is  ≤ significance level we reject the Null hypothesis

while when the P-value is ≥ significance level we reject the alternate hypothesis

The correct number from the list that corresponds to the null hypothesis will be a number ≥ P - value / critical value

The correct number form the list that corresponds to the alternate hypothesis will be a number ≤ P - value / critical value