The correct answer to the question shown in the image is:

$P = \frac{X}{N}$

Explanation:

• $P$: Sample proportion.
• $X$: The entry of interest or the number of successes (e.g., favorable outcomes).
• $N$: Total number of entries (e.g., the sample size).

The formula for the sample proportion is derived from the basic principle that a proportion is the ratio of the part (successes) to the whole (total entries). Thus, $\frac{X}{N}$ accurately captures the sample proportion.

Would you like further clarification or related examples?

Related Questions:

1. What is a real-world example of calculating a sample proportion?
2. How does the sample proportion differ from the population proportion?
3. What role does the sample proportion play in confidence intervals?
4. Why is the sample proportion important in hypothesis testing?
5. How would the sample proportion change if $X = 0$?

Tip:

Always ensure that $N \neq 0$ when calculating proportions, as division by zero is undefined.