In: Math
The reaction time before lunch was compared with the reaction time after lunch for a group of 28 office workers. Twenty two workers found their reaction time before lunch was shorter, and two could detect no difference, while the rest had a longer reaction time before lunch. Is there evidence that the reaction time before lunch is significantly shorter than the reaction time after lunch?
Let denotes the true proportion of workers who found their reaction time before lunch was shorter.
To test against
So, we can say there is sufficient evidence to support the claim that the reaction time before lunch is significantly shorter than the reaction time after lunch.