In a Simple Random Sample of Size 100 , There $H _ { 0 } : p = 0.69$

question 172

Essay

In a simple random sample of size 100 , there were 60 individuals in the category of interest. It is desired to test $H _ { 0 } : p = 0.69$ versus $H _ { 1 } : p < 0.69$ .
i). Compute the sample proportion $\hat { p }$ .
ii). It is desired to test $H _ { 0 } : p = 0.69$ versus $H _ { 1 } : p > 0.69$ Compute the test sti
iii). Do you reject $H _ { 0 }$ at the $0.05$ level? tistic

---

Definitions:

Moral Reasoning

The process by which individuals make decisions about what is right and wrong, often based on societal norms, personal values, and ethics.

Cognitive Developmental Pattern

A progression of mental processing abilities, including attention, memory, and problem-solving, that occurs from infancy through adulthood.

Piaget

A psychologist known for his pioneering work in child development, specifically his theory of cognitive development that describes how children's intellect grows through various stages.

Kohlberg

Refers to Lawrence Kohlberg, a psychologist known for his theory of moral development which proposes that moral reasoning progresses through distinct stages.