Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (µ, p, σ) for the indicated parameter. -An entomologist writes an article in a scientific journal which claims that fewer than 3 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) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}0.0003 \ \mathrm{H}_{1}: \mathrm{p} \leq 0.0003 \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: p=0.0003 \ \mathrm{H}_{1}: p0.0003 \end{array}$ C) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}

Question

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (µ, p, σ) for the indicated parameter. -An entomologist writes an article in a scientific journal which claims that fewer than 3 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) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}>0.0003 \ \mathrm{H}_{1}: \mathrm{p} \leq 0.0003 \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: p=0.0003 \ \mathrm{H}_{1}: p>0.0003 \end{array}$ C) $\begin{array}{l} \mathrm{H}_{0}: \mathrm{p}<0.0003 \ \mathrm{H}_{1}: \mathrm{p} \geq 0.0003 \end{array}$ D) $\begin{array}{l} H_{0}: p=0.0003 \ H_{1}: p<0.0003 \end{array}$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) represents the status quo or a statement of no effect, which is $p = 0.0003$. The alternative hypothesis ($H_1$) represents the claim that fewer than 3 in ten thousand fireflies are unable to produce light, which is $p < 0.0003$.

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic H0:p>0.0003H1:p≤0.0003\begin{array}{l}\mathrm{H}_{0}: \mathrm{p}>0.0003 \\\mathrm{H}_{1}: \mathrm{p} \leq 0.0003\end{array}H0​:p>0.0003H1​:p≤0.0003​

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $\begin{array}{l}\mathrm{H}_{0}: \mathrm{p}>0.0003 \\\mathrm{H}_{1}: \mathrm{p} \leq 0.0003\end{array}$