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

question 104

Multiple Choice

Use the one-proportion z-test to perform the specified hypothesis test. Use the critical-value approach.
- $\mathrm { x } = 18 , \mathrm { n } = 100 , \mathrm { H } _ { 0 } : \mathrm { p } = 0.2 , \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \neq 0.2 , \alpha = 0.01$

• A)\(\mathrm { z } = - 0.500\); critical values \(= \pm 2.575\); do not reject \(\mathrm { H } _ { 0 }\)
• B) \(\mathrm { z } = - 0.500\); critical values \(= \pm 2.33\); do not reject \(\mathrm { H } _ { 0 }\)
• C) \(\mathrm { z } = - 0.310\); critical values \(= \pm 2.575\); do not reject \(\mathrm { H } _ { 0 }\)
• D) \(\mathrm { z } = - 0.310\); critical values \(= \pm 2.33\); reject \(\mathrm { H } _ { 0 }\)

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Definitions:

Extant Cetaceans

Currently living whale, dolphin, and porpoise species that are members of the order Cetacea.

Hind Feet

The rear feet or legs of an animal, often specialized for various functions such as jumping, running, or climbing.

Modern Cetaceans

Refers to the current species of whales, dolphins, and porpoises, highly adapted marine mammals with a fully aquatic lifestyle.