For each of the following scenarios state the appropriate nu

For each of the following scenarios, state the appropriate null hypothesis and indicate whether the result corresponds to a Type-I error, a Type-II error, or no error. Use =0.05. (2pt each)

a. A new method of relaxation training, which includes mediation and biofeedback, is reported to be successful at reducing high blood pressure, even though it doesn’t actually have any effect on blood pressure.

b. A study that tested if there was any relationship between a person’s heart rate and consuming a small amount of caffeine resulted in a p-value of 0.21. In truth, there is no relationship between heart rate and caffeine in this population.

c. Park officials tested if new design of bear-proof trash bins is more successful at keeping bears out than the bins they currently use. Their test resulted in a p-value of 0.08, and the new design is actually more successful than the current one

Solution

a) we can sat our null hypothesis as,

H0 : mediation reducing high blood pressure

we can draw sample those who are with mediation and on the basis of sample we can reject or accept H0. (type I error)

b) H0 : there was any relationship between a person’s heart rate and consuming a small amount of caffeine

For this tesiting problem the p-vale comesout to be 0.21( >.05). Hence we can accept H0.

c) H0 :  new design of bear-proof trash bins is more successful .

For this tesiting problem the p-vale comesout to be 0.08( >.05). Hence we can accept H0.