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A Researcher Conducts a Hypothesis Test on a Population Proportion H0:p=0.4\mathrm { H } _ { 0 } : \mathrm { p } = 0.4

question 54

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A researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are H0:p=0.4\mathrm { H } _ { 0 } : \mathrm { p } = 0.4 and Ha:p<0.4\mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.4 . The test statistic and p\mathrm { p } -value for the test are z=3.01\mathrm { z } = - 3.01 and p\mathrm { p } -value =0.0013= 0.0013 . For a significance level of α=0.05\alpha = 0.05 , choose the correct conclusion regarding the null hypothesis.

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Definitions:

Volley Principle

A theory explaining how auditory nerve fibers respond to sounds of different frequencies by firing together in volleys to convey the pitch of sound.

Frequency Theory

A theory in the field of psychophysics that suggests the perception of pitch is related to the rate at which auditory nerve fibers fire.

Basilar Membrane

An important structure in the cochlea of the inner ear, it plays a critical role in the sensory process of hearing by transforming sound vibrations into neural signals.

High-Frequency Sounds

Sounds that have a high pitch, typically above 2,000 Hz, often beyond the range of human hearing.

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