Question

In: Statistics and Probability

A physician wants to perform a study at a local health center where 250 individuals have...

A physician wants to perform a study at a local health center where 250 individuals have stress issues. The purpose of the study would be to determine if doing yoga for 30 minutes helps with improving stress levels compared to sleeping for 30 minutes.

Part B: The hypotheses for this study are as follows:
H0: There is no difference in the mean improvement of stress levels for either treatment.
Ha: The mean improvement of stress levels is greater for the yoga treatment.

The center will allow individuals to do yoga during visits if the null hypothesis is rejected. What are the possible Type I and II errors? Describe the consequences of each in the context of this study and discuss which type you think is more serious. (5 points)

Please use the type in answer instead of the hand writing answer, there is one answer fir this question but I can't read his hand writing.... thanks very much.

Solutions

Expert Solution

Type I error is rejection of true null hypothesis

In the context of the problem, Type I error is that the center will allow individuals to do yoga during visits but in reality there is no difference in the mean improvement of stress levels doing yoga and sleeping.

The consequences of Type I error is that people would get the same improvement of stress levels after doing yoga, in place of 30 minutes of sleeping.

Type II error is accepatance of false null hypothesis

In the context of the problem, Type II error is that the center will not allow individuals to do yoga during visits but in reality the mean improvement of stress levels is greater for the yoga treatment.

The consequences of Type II error is that people would get the lesser improvement of stress levels after 30 minutes of sleeping but in fact there can be more improvement of stress levels if they have done 30 minutes of yoga.

Since the mean stress level was not lowered much in this case where it can be feasible with yoga, Type II error is more serious.

orchestra answered 1 year ago
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