Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $( \mu , \rho , \sigma )$

question 3

Multiple Choice

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol $( \mu , \rho , \sigma )$ 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) \(H _ { 0 } : p < 0.0016\)
• \(H _ { 1 } : p \geq 0.0016\)
• B) \(H _ { 0 } : p = 0.0016\)
• \(H _ { 1 } : p > 0.0016\)
• C) \(H _ { 0 } : p > 0.0016\)
• \(H _ { 1 } : p \leq 0.0016\)
• D) \(H _ { 0 } : p = 0.0016\)
• \(H _ { 1 } : p < 0.0016\)

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Definitions:

Anxious

Experiencing worry, unease, or nervousness, often about an imminent event or something with an uncertain outcome.

Fearful

Experiencing fear, a primary emotional response to perceived threats or danger.

Cluster C

Anxious or fearful personality disorders; “worried” or “sad.”

Diagnosed

The process of identifying a disease or disorder based on a systematic evaluation of physical signs, symptoms, history, and often diagnostic tests.