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) $\begin{array} { l } H _ { 0 } : p = 0.0016 \ H _ { 1 } : p 0.0016 \end{array}$ C) $\begin{array} { l } H _ { 0 } : p 0.0016 \ H _ { 1 } : p \leq 0.0016 \end{array}$ D) $\begin{array} { l } H _ { 0 } : p

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) $\begin{array} { l } H _ { 0 } : p = 0.0016 \ H _ { 1 } : p > 0.0016 \end{array}$ C) $\begin{array} { l } H _ { 0 } : p > 0.0016 \ H _ { 1 } : p \leq 0.0016 \end{array}$ D) $\begin{array} { l } H _ { 0 } : p < 0.0016 \ H _ { 1 } : p \geq 0.0016 \end{array}$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically states that there is no effect or no difference, so it would assert that the proportion $p$ is equal to the stated value of 0.0016. The alternative hypothesis ($H_1$) reflects the claim being tested, which in this case is that fewer than 16 in ten thousand (or fewer than 0.0016) male fireflies are unable to produce light, hence $p < 0.0016$.

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 $( \mu , p , \sigma )$