Solve the Problem $\beta$ , Given That the True Value of the Population Proportion

question 36

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) 0.4129
• B) 0.7123
• C) 0.5754
• D) 0.9706

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Definitions:

Medical Laboratories

Facilities where various forms of diagnostic and medical testing are conducted to obtain information about the health of patients.

Entitlement

A right or benefit that is granted by law, social policy, or other formal means.

Private Goods

Goods that are excludable and rivalrous in consumption, meaning their use by one individual prevents use by another.

Normal Goods

Goods for which demand increases as the income of the buyer increases and decreases as the income of the buyer decreases, showing a positive correlation between income changes and demand.