Formulate the null and alternative hypotheses for a hypothesis test. -An entomologist writes an article in a scientific journal which claims that less than 5 in ten thousand male fireflies are unable to produce light due to a genetic mutation. A) $\mathrm { H } _ { 0 } : \mathrm { p } 0.0005$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.0005$ B) $\mathrm { H } _ { 0 } : \mathrm { p }

Question

Formulate the null and alternative hypotheses for a hypothesis test. -An entomologist writes an article in a scientific journal which claims that less than 5 in ten thousand male fireflies are unable to produce light due to a genetic mutation. A) $\mathrm { H } _ { 0 } : \mathrm { p } > 0.0005$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.0005$ B) $\mathrm { H } _ { 0 } : \mathrm { p } < 0.0005$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.0005$ C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.0005$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.0005$ D) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.0005$ $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.0005$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) represents the status quo or a statement of no effect, which is that the proportion $p$ is equal to 0.0005. The alternative hypothesis ($H_a$) represents the claim being tested, which is that the proportion $p$ is less than 0.0005.

Formulate the Null and Alternative Hypotheses for a Hypothesis Test H0:p>0.0005\mathrm { H } _ { 0 } : \mathrm { p } > 0.0005H0​:p>0.0005

Formulate the Null and Alternative Hypotheses for a Hypothesis Test $\mathrm { H } _ { 0 } : \mathrm { p } > 0.0005$