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:

r

Often represents the rate of return or interest rate in financial equations and models.

APR

Annual Percentage Rate (APR) is a measure that depicts the actual yearly cost of funds over the term of a loan or the return on an investment, including any fees or additional costs associated with the transaction.

Effective Annual Rate

The interest rate that reflects the compounding effects within a year, providing a true reflection of the return on investment.

Quoted Rates

The interest rates that lenders advertise or offer to potential borrowers for specific loan products.