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) $H _ { 0 } : p 0.0016$ $H _ { 1 } : p \leq 0.0016$ B) $H _ { 0 } : p = 0.0016$ $H _ { 1 } : p 0.0016$ C) $H _ { 0 } : p = 0.0016$ $H _ { 1 } : 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) $H _ { 0 } : p > 0.0016$ $H _ { 1 } : p \leq 0.0016$ B) $H _ { 0 } : p = 0.0016$ $H _ { 1 } : p > 0.0016$ C) $H _ { 0 } : p = 0.0016$ $H _ { 1 } : p < 0.0016$ D) $H _ { 0 } : p < 0.0016$ $H _ { 1 } : p \geq 0.0016$

Quizplus · Accepted Answer

The null hypothesis is that the proportion of male fireflies unable to produce light is equal to or greater than 0.0016. The alternative hypothesis is that the proportion is less than 0.0016. This is the most appropriate choice for this problem because the entomologist is claiming that the proportion is less than a certain value, rather than greater than or equal to it, and we want to test whether there is sufficient evidence to support this 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 $( \mu , p , \sigma )$