In Testing the Hypotheses H₀ $\mu$ = 75
H₁ $\mu$ < 75
the P-Value Is Found to Be 0

question 43

Multiple Choice

In testing the hypotheses H₀ : $\mu$ = 75.
H₁ : $\mu$ < 75.
The p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?

• A) The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.
• B) The smallest value of \(\alpha\) that would lead to the rejection of the null hypothesis is 0.042.
• C) The probability that the population mean is smaller than 75 is 0.042.
• D) None of the above statements is correct.

---

Definitions:

Retire

The process of leaving one's job and ceasing to work, typically due to age or health reasons.

Interest Rate

The percentage of a sum of money charged for its use, reflecting the cost of borrowing money or the return on invested funds.

Bond

A fixed income investment in which an investor loans money to an entity (typically corporate or governmental) which borrows the funds for a defined period at a variable or fixed interest rate.

Payment

The transfer of money or goods in exchange for the provision of services, the fulfillment of an obligation, or the purchase of goods.