Question

Express the null hypothesis and the alternative in symbolic form. Use the correct symbol (μ, p, σ ) for the indicated parameter.
An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 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. H0:p<0.0016
H1:p≥0.0016
B. H0:p=0.0016
H1:p<0.0016
C. H0:p=0.0016
H1:p>0.0016
D. H0:p>0.0016
H1:p≤0.0016

Answer 1

Answer:

A. H0:p<0.0016

H1:p≥0.0016

Step-by-step explanation:

An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation.

This means that the null hypothesis is that the proportion is less than the proportion explicited, that is:

$H_0: p < \frac{16}{10000}$

$H_0: p < 0.0016$

At the alternate hypothesis, we test if the claim at the null hypothesis is wrong, that is, if the proportion is equals or more to this value. So

$H_1: p \geq 0.0016$

The correct answer is given by option A.