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

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.