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 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.
oa. ho: p = 0.0016
h₁: p < 0.0016
ob. ho: p = 0.0016
h₁: p > 0.0016
oc. ho: p = 0.0016
h₁: p < 0.0016
od. ho: p < 0.0016
h₁: p = 0.0016

Explanation:

The null hypothesis \(H_0\) is a statement of equality. Here, it assumes the proportion \(p\) is equal to the value \(16\) in ten - thousand (\(p = 0.0016\)). The alternative hypothesis \(H_1\) is the claim we are testing. Since the claim is that the proportion is less than \(0.0016\), \(H_1:p<0.0016\).

Answer:

A. \(H_0:p = 0.0016\), \(H_1:p<0.0016\)