A Test Of $H _ { 0 } : \mu = 56$

question 150

Multiple Choice

A test of $H _ { 0 } : \mu = 56$ versus $H _ { 1 } : \mu \neq 56$ is performed using a significance level of $\alpha = 0.01$ . The value of the test statistic is $z = - 2.46$ .
If the true value of $\mu$ is 56 , does the conclusion result in a Type I error, a Type II error, or correct decision?

• A) Type I error
• B) Type II error
• C) Correct decision

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Definitions:

Decentering

The cognitive ability to consider multiple aspects of a situation or to take another person's perspective, moving beyond self-centric views.

Concrete Operations

A stage in Piaget's theory of cognitive development during which children acquire the ability to think logically about concrete objects and events.

Logical Thought

The process of reasoning in a clear, structured, and consistent manner to arrive at a conclusion based on a set of premises or facts.

Cognitive Development

The process of growth and change in intellectual capabilities that occurs from infancy to adulthood.