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) \(0.5754\)

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Definitions:

Behavioral Synchrony

The phenomenon where individuals in a group mirror each other's actions or emotions, often leading to increased cohesion and empathy.

Collective Cohesion

The sense of solidarity, unity, and commitment among members of a group, which strengthens their willingness to work together towards common goals.

Belongingness

The human emotional need to be an accepted member of a group, whether it is friends, family, or a larger community.

Emotional Cohesion

The bonding of group members through shared feelings, empathy, or emotional experiences that enhance a sense of unity or togetherness.