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The following data was calculated during a the study on physical therapy patients.Now find the critical value(s) and sketch the rejection region in order to

The following data was calculated during a the study on physical therapy patients.Now find the critical value(s) and sketch the rejection region in order to interpret the results for this hypothesis test:

  • A physical therapist would like to test the claim that the average amount of time a physical therapy patientexercises at home weekly is less than 50 minutes.
  • Significance level = 0.01
  • Sample size =29 physical therapy patients
  • Test statistic t0=1.72

Use the curve below to help visualize your answer. Select the correct sample size by dragging the black point along the slider and theappropriate test by dragging the blue point to a right-, left- or two-tailed diagram.Then, set the critical value(s)on the x-axis to select the appropriate answer.

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t=0.01

rejection region = 0.504

Move the blue dot to choose the appropriate test

n=29

test statistic = 1.72

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Select the correct answer below:

Reject H0. There is strong evidence to conclude that theaverage amount of time a physical therapy patientexercises at home weekly is less than 50 minutes.

Reject H0. There is NOT strongevidence to conclude that the average amount of time a physical therapy patientexercises at home weekly is less than 50 minutes.

Fail to reject H0. There is strong evidence to conclude that the average amount of time a physical therapy patientexercises at home weekly is less than 50 minutes.

Fail toreject H0. There is NOT strong evidence to conclude that the average amount of time a physical therapy patientexercises at home weekly is less than 50 minutes.

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