Solve the Problem $0.7$ Find the Probability of a Type II Error

question 24

Multiple Choice

Solve the problem. A hypothesis test is performed to test the claim that a population proportion is greater than $0.7$ . Find the probability of a type II error, $\beta$ , given that the true value of the population proportion is $0.72$ . The sample size is 50 and the significance level is $0.05$ .

• A) \(0.7123\)
• B) \(0.4129\)
• C) \(0.9706\)
• D) \(0.5754\)

---

Definitions:

Proper Nutrition

A balanced intake of food substances necessary for the body to grow, repair, and function optimally.

IV Catheter

A medical device inserted into veins to deliver fluids, medications, or nutrients directly into a patient's bloodstream or to draw blood.

Ethical Principle

A fundamental concept or value that guides moral conduct, such as autonomy, beneficence, or justice, within various domains including healthcare.

Veracity

The adherence to the truth; honesty and accuracy in action or in giving information.