To find the margin of error (MOE), we use the formula:

$\text{Margin of Error} = Z \times \text{Standard Error}$

Where:

• $Z$ is the Z-score associated with the given confidence level,
• The standard error (SE) is given as 5.38,
• The confidence level is 98%.

For a 98% confidence level, the corresponding Z-score is approximately 2.33.

Now, calculating the margin of error:

$\text{MOE} = 2.33 \times 5.38 = 12.53$

Thus, the margin of error is approximately 12.53.

Would you like more details or have any other questions?

Here are 5 related questions to expand on this topic:

1. How do you determine the Z-score for different confidence levels?
2. What is the relationship between confidence intervals and margin of error?
3. How does increasing the sample size affect the margin of error?
4. Can you explain the difference between standard error and standard deviation?
5. What is the effect of changing the confidence level on the margin of error?

Tip: The margin of error increases with higher confidence levels because we need more certainty, which requires accounting for more variability.