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

question 54

Multiple Choice

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

• A) There is not sufficient evidence to conclude that the population proportion is significantly different from 0.04.
• B) There is sufficient evidence to conclude that the population proportion is significantly different from 0.04.
• C) There is not sufficient evidence to reject the null hypothesis that the population proportion is equal to 0.04.
• D) There is sufficient evidence to accept the null hypothesis that the population proportion is equal to 0.04.

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Definitions:

Growth Needs

Psychological requirements that drive personal development, self-improvement, and the fulfillment of one's potential.

ERG Theory

A theory of human motivation developed by Clayton Alderfer that categorizes core needs into three groups: Existence, Relatedness, and Growth.

Satisfied Need

A requirement or desire that has been fulfilled, contributing to an individual's contentment or well-being.

ERG Theory

A motivation theory that categorizes human needs into existence, relatedness, and growth.