Use the One-Proportion Z-Test to Perform the Specified Hypothesis Test

question 4

Multiple Choice

Use the one-proportion z-test to perform the specified hypothesis test. Use the critical-value approach.
- $\mathrm { x } = 30 , \mathrm { n } = 169 , \mathrm { H } _ { 0 } : \mathrm { p } = 0.11 , \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \neq 0.11 , \alpha = 0.05$

• A)\(\mathrm { z } = 1.36\); critical values \(= \pm 1.96\); do not reject \(\mathrm { H } _ { 0 }\)
• B) \(\mathrm { z } = 2.81\).; critical values \(= \pm 1.645\); reject \(\mathrm { H } _ { 0 }\)
• C) \(\mathrm { z } = 1.36\).; critical values \(= \pm 1.645\); do not reject \(\mathrm { H } _ { 0 }\)
• D) \(\mathrm { z } = 2.81\).; critical values \(= \pm 1.96\); reject \(\mathrm { H } _ { 0 }\)

---

Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.