Question

Increasing the confidence-interval level from .95 to .99 a. increases the likelihood of including the population...

Increasing the confidence-interval level from .95 to .99

a.

increases the likelihood of including the population mean within its limits

b.

decreases the likelihood of including the population mean within its limits

c.

increases the number of degrees of freedom

d.

none of these, since a confidence interval may never include the true population mean

Homework Answers

Answer #1

Increasing the confidence-interval level from .95 to .99

Answer: a.

a.

increases the likelihood of including the population mean within its limits

Explanation:

If we increase the confidence level of the interval by assuming all other factors constant, the width of the confidence interval also increases. This means, there is a more chance of population mean being included in the interval. This means, the likelihood of including population mean increases due to increment in confidence level.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Q10. If population mean is included in the 95% confidence interval then a. 99% confidence interval...
Q10. If population mean is included in the 95% confidence interval then a. 99% confidence interval will always include the mean b. 90% confidence interval will never include that mean c. 99% confidence interval will never include that mean d. 90% confidence interval will always include the mean
A 99% confidence interval estimate of the population mean ? can be interpreted to mean: a)...
A 99% confidence interval estimate of the population mean ? can be interpreted to mean: a) if all possible sample are taken and confidence intervals created, 99% of them would include the true population mean somewhere within their interval. b) we have 99% confidence that we have selected a sample whose interval does include the population mean. c) we estimate that the population mean falls between the lower and upper confidence limits, and this type of estimator is correct 99%...
If a confidence interval is constructed at a confidence level of 99% instead of 95%: a)Estimation...
If a confidence interval is constructed at a confidence level of 99% instead of 95%: a)Estimation precision decreases b)The precision of the estimate is not altered c)We can accurately calculate the value of the parameter of interest d)Estimation accuracy improves significantly
Which of the following is true when a 95% confidence interval for a population proportion is...
Which of the following is true when a 95% confidence interval for a population proportion is changed to a 99% confidence interval, with all other parts of the interval remaining constant? Clear Detailed Work Please! Thank you for your hard work! One of these 4 options is correct: A. interval size increases by 4% B. interval size decreases by 4% C. interval size increases by 31% D. interval size decreases by 31%
Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval...
Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval contains both negative and positive values. Will a 99% confidence interval based on the same data contain both negative and positive numbers as well? Choose the correct response from the options provided below. A. Yes. Keeping all other values the same, increasing the confidence level leads to a wider interval which would still include negative and positive numbers. B. No. Increasing the confidence level...
Which of the following statements is true? The 95% confidence interval is wider than the 99%...
Which of the following statements is true? The 95% confidence interval is wider than the 99% confidence interval. The ONLY way to reduce the width of a confidence interval is to reduce the confidence level. The required sample size for a population mean is ONLY dependent on population variance. Given population variance and sampling error, higher confidence level results in larger sample size.
Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval...
Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval contains both negative and positive values. Will a 99% confidence interval based on the same data contain both negative and positive numbers as well? Choose the correct response from the options provided below. Yes. Keeping all other values the same, increasing the confidence level leads to a wider interval which would still include negative and positive numbers. No. Increasing the confidence level leads to...
What effect does increasing the confidence level have on a confidence interval? I know that increasing...
What effect does increasing the confidence level have on a confidence interval? I know that increasing the confidence level increases the error bound, making the confidence interval wider. Decreasing the confidence level decreases the error bound, making the confidence interval narrower, but why?
True or false? A larger sample size produces a longer confidence interval for μ. False. As...
True or false? A larger sample size produces a longer confidence interval for μ. False. As the sample size increases, the maximal error decreases, resulting in a shorter confidence interval.True. As the sample size increases, the maximal error decreases, resulting in a longer confidence interval.    True. As the sample size increases, the maximal error increases, resulting in a longer confidence interval.False. As the sample size increases, the maximal error increases, resulting in a shorter confidence interval. True or false? If the...
A 95% confidence interval for a population mean is determined to be 100 to 120. A....
A 95% confidence interval for a population mean is determined to be 100 to 120. A. Multiple Choice. What is the sample mean? a) 100 b)110 c)120 d)Not enough information to determine B. What is the margin of error? a)5 b)10 c)20 d) 100 e) Not enough information to determine C. IF the conflidence level is reduced to 90%, which of the following is a viable option for the limits of the interval? a) (85,135) b) (85,130) c) (105,115) d)...