An entomologist writes an article in a scientific journal which claims that fewer than $17 \%$ of male fireflies are unable to produce light due to a genetic mutation. The correct null and alternative hypotheses for testing this claim are A) $H _ { 0 } : p 0.17 , H _ { A } : p = 0.17$ C) $H _ { 0 } : p = 0.17 , H _ { A } : p 0.17 , H _ { A } : p 0.17$

Question

An entomologist writes an article in a scientific journal which claims that fewer than $17 \%$ of male fireflies are unable to produce light due to a genetic mutation. The correct null and alternative hypotheses for testing this claim are A) $H _ { 0 } : p < 0.17 , H _ { A } : p = 0.17$ B) $H _ { 0 } : p > 0.17 , H _ { A } : p = 0.17$ C) $H _ { 0 } : p = 0.17 , H _ { A } : p < 0.17$ D) $H _ { 0 } : p > 0.17 , H _ { A } : p < 0.17$ E) $H _ { 0 } : p = 0.17 , H _ { A } : p > 0.17$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically represents a statement of no effect or no difference, or the status quo, which in this case is that 17% of male fireflies are unable to produce light due to a genetic mutation ($p = 0.17$). The alternative hypothesis ($H_A$) represents what the researcher is trying to prove, which is that fewer than 17% of male fireflies are unable to produce light ($p < 0.17$).

An Entomologist Writes an Article in a Scientific Journal Which 17%17 \%17%

An Entomologist Writes an Article in a Scientific Journal Which $17 \%$