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

question 47

Multiple Choice

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) \(H _ { 0 } : p = 0.0016\)
• \(H _ { 1 } : p < 0.0016\)
• B) \(H _ { 0 } : p < 0.0016\)
• \(H _ { 1 } : p \geq 0.0016\)
• C) \(H _ { 0 } : p = 0.0016\)
• \(H _ { 1 } : p > 0.0016\)
• D) \(H _ { 0 } : p > 0.0016\)
• \(H _ { 1 } : p \leq 0.0016\) 10

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Definitions:

Admissible In Court

Pertains to evidence that is allowed to be presented before the court as part of the trial proceedings.

Suspected Crime

An act believed to potentially be criminal based on preliminary evidence or suspicion but not yet legally proven.

Search Warrant

A legal document authorized by a judge or magistrate, allowing law enforcement to conduct a search of a premises for evidence of a crime.

Plea Bargaining

The process by which the accused and the prosecutor in a criminal case work out a mutually satisfactory disposition of the case, subject to court approval. Usually, plea bargaining involves the defendant's pleading guilty to a lesser offense in return for a lighter sentence.