Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol $( \mu , p , \sigma )$ for the indicated parameter. An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light. A) $\begin{array} { l } H _ { 0 } : p = 0.0016 \ H _ { 1 } : p 0.0016 \ H _ { 1 } : p \leq 0.0016 \end{array}$

Question

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol $( \mu , p , \sigma )$ for the indicated parameter. An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light. A) $\begin{array} { l } H _ { 0 } : p = 0.0016 \ H _ { 1 } : p < 0.0016 \end{array}$ B) $\begin{array} { l } H _ { 0 } : p < 0.0016 \ H _ { 1 } : p \geq 0.0016 \end{array}$ C) $\begin{array} { l } H _ { 0 } : p = 0.0016 \ H _ { 1 } : p > 0.0016 \end{array}$ D) $\begin{array} { l } H _ { 0 } : p > 0.0016 \ H _ { 1 } : p \leq 0.0016 \end{array}$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically states that there is no effect or no difference, and it is set up to be tested against the alternative hypothesis ($H_1$). In this case, the null hypothesis states that the true proportion ($p$) of male fireflies unable to produce light due to a genetic mutation is 0.0016 (or 16 in ten thousand), and the alternative hypothesis suggests that the proportion is less than 0.0016, aligning with the entomologist's claim.

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic (μ,p,σ)( \mu , p , \sigma )(μ,p,σ)

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $( \mu , p , \sigma )$