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Book: BIOSTATISTICS: A Foundation for Analysis in the Health Sciences (19th edit

ID: 3329252 • Letter: B

Question

Book: BIOSTATISTICS: A Foundation for Analysis in the Health Sciences (19th edition).

Chapter 7 question 39.

For each of the following situations, identify the type I and type II errors and the correct actions.
(a) H0: A new treatment is not more effective than the traditional one.
      (1) Adopt the new treatment when the new one is more effective.
      (2) Continue with the traditional treatment when the new one is more effective.
      (3) Continue with the traditional treatment when the new one is not more effective.
      (4) Adopt the new treatment when the new one is not more effective.

(b) H0: A new physical therapy procedure is satisfactory.
       (1) Employ a new procedure when it is unsatisfactory.
       (2) Do not employ a new procedure when it is unsatisfactory.
       (3) Do not employ a new procedure when it is satisfactory.
       (4) Employ a new procedure when it is satisfactory.

(c) H0: A production run of a drug is of satisfactory quality.
       (1) Reject a run of satisfactory quality.
       (2) Accept a run of satisfactory quality.
       (3) Reject a run of unsatisfactory quality.
       (4) Accept a run of unsatisfactory quality.

Explanation / Answer

a) H0: A new treatment is not more effective than the traditional one.

(1) Adopt the new treatment when the new one is more effective. correct action

(2) Continue with the traditional treatment when the new one is more effective.Type I error.

True H0 but reject it (False Positive).

(4) Adopt the new treatment when the new one is not more effective.Type II error. Type-2 = False H0 but accept it (False Negative)

(b) H0: A new physical therapy procedure is satisfactory.

(4) Employ a new procedure when it is satisfactory..Correct Action.

(3) Do not employ a new procedure when it is satisfactory.Type I error.

(1) Employ a new procedure when it is unsatisfactory.Type II error.

(c) H0: A production run of a drug is of satisfactory quality.

(1) Reject a run of satisfactory quality.Type I error

(2) Accept a run of satisfactory quality.Correct Action.

(4) Accept a run of unsatisfactory qualityType II error.