A researcher claims that more than 62% of voters favor gun control. State the null hypothesis and the alternative hypothesis for a test of significance. A) $\mathrm { H } _ { 0 } : \mathrm { p } 0.62$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.62$ B) $\mathrm { H } _ { 0 } : \mathrm { p } 0.62$ D) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.62$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p }

Question

A researcher claims that more than 62% of voters favor gun control. State the null hypothesis and the alternative hypothesis for a test of significance. A) $\mathrm { H } _ { 0 } : \mathrm { p } > 0.62$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.62$ B) $\mathrm { H } _ { 0 } : \mathrm { p } < 0.62$ $H _ { a } : p = 0.62$ C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.62$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.62$ D) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.62$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.62$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) represents the status quo or a statement of no effect, which is $p = 0.62$. The alternative hypothesis ($H_a$) represents the researcher's claim, which is $p > 0.62$.

A Researcher Claims That More Than 62% of Voters Favor H0:p>0.62\mathrm { H } _ { 0 } : \mathrm { p } > 0.62H0​:p>0.62

A Researcher Claims That More Than 62% of Voters Favor $\mathrm { H } _ { 0 } : \mathrm { p } > 0.62$