To answer the question step by step:

1. **Understand the concept of a confidence interval**: A confidence interval provides a range of values that is likely to contain the population parameter with a certain level of confidence. For example, a 91% confidence interval means we are 91% confident that the true parameter lies within this interval.

2. **Consider the effect of increasing the confidence level**: When you increase the confidence level, you want to be more certain that the interval contains the true parameter. To achieve this higher certainty, you need a wider interval.

3. **Apply this to the given confidence levels**: If you increase the confidence level from 91% to 93%, you are aiming for a higher certainty. To accommodate this higher certainty, the interval must become wider.

4. **Conclusion**: Therefore, the confidence interval will widen.

So, the correct answer is: The confidence interval will widen.

Question

To answer the question step by step:

1. **Understand the concept of a confidence interval**: A confidence interval provides a range of values that is likely to contain the population parameter with a certain level of confidence. For example, a 91% confidence interval means we are 91% confident that the true parameter lies within this interval.

2. **Consider the effect of increasing the confidence level**: When you increase the confidence level, you want to be more certain that the interval contains the true parameter. To achieve this higher certainty, you need a wider interval.

3. **Apply this to the given confidence levels**: If you increase the confidence level from 91% to 93%, you are aiming for a higher certainty. To accommodate this higher certainty, the interval must become wider.

4. **Conclusion**: Therefore, the confidence interval will widen.

So, the correct answer is: The confidence interval will widen.

Knowee AI · Accepted Answer

To answer the question step by step:

1. **Understand the concept of a confidence interval**: A confidence interval provides a range of values that is likely to contain the population parameter with a certain level of confidence. For example, a 91% confidence interval means we are 91% confident that the true parameter lies within this interval.

2. **Consider the effect of increasing the confidence level**: When you increase the confidence level, you want to be more certain that the interval contains the true parameter. To achieve this higher certainty, you need a wider interval.

3. **Apply this to the given confidence levels**: If you increase the confidence level from 91% to 93%, you are aiming for a higher certainty. To accommodate this higher certainty, the interval must become wider.

4. **Conclusion**: Therefore, the confidence interval will widen.

So, the correct answer is: The confidence interval will widen.

Suppose you compute a 91% confidence interval. What will happen to the confidence interval if you increase the confidence level to 93%?The confidence interval will widen.The confidence interval will narrow.The width of the confidence interval will stay the same.

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