Changes in the Margin of Error: Suppose you are constructing confidence intervals about a mean or...
Changes in the Margin of Error: Suppose you are constructing confidence intervals about a mean or proportion. Answer the following questions about the margin of error (E) when the following changes are made.
(a) If the confidence level decreases, then which of the following is true?
the margin of error will increasethe margin of error will decrease the margin of error should not change
(b) If the sample size gets larger while the confidence level and
sample statistics remain constant, then which of the following is
true?
the margin of error will decreasethe margin of error will increase the margin of error should not change
Homework Answers
a)
the margin of error will decrease (since margin of error depends on confidence coefficient which decreases as confidence level decreases)
b)
the margin of error will decrease (since margin of error is inversely proportional to square root of sample size)
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Changes in the Margin of Error: Suppose you are
constructing confidence intervals about a mean or...
QUESTION 3 All things being equal, which is correct? As the confidence level increases, the margin...
QUESTION 3 All things being equal, which is correct? As the confidence level increases, the margin of error gets larger. As the sample size increases, the confidence interval gets wider. As the standard deviation increases, the margin of error gets smaller. As the sample mean increases, the margin of error gets larger. Which of the following is correct? As the sample size increases, the confidence level decreases. As the confidence level increases, the width of the confidence interval decreases. As...
Constructing Confidence Intervals, Part 1: Estimating Proportion Assume that a sample is used to estimate a...
Constructing Confidence Intervals, Part 1: Estimating Proportion
Assume that a sample is used to estimate a population proportion p.
Find the margin of error E that corresponds to the given statistics
and confidence level: In a random sample of 200 college students,
110 had part-time jobs. Find the margin of error for the 98%
confidence interval used to estimate, for the entire population of
college students, the percentage who have part-time jobs. Round
your answer to three decimal places.
Please...
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19. When calculating a confidence interval, keeping the sample size the same but decreasing the confidence level, will a. decrease the width of the confidence interval b. decrease the margin of error c. make us less sure that our confidence interval contains the true parameter d. all of the above 20. A research company polled a random sample of 799 U.S. teens about internet use.0.49 of those teens reported that they had misrepresented their age online to gain access to...
Find the margin of error for a 95% confidence interval for estimating the population mean when...
Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 92, with a sample size of (a) 400,(b) 1800. What is the effect of the sample size? 2. The margin of error for a 95% confidence interval with a sample size of 400 is (Round to the nearest tenth as needed.) b. The margin of error for a 90% confidence interval with a sample size of 1600 is (Round...
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1. With same level of confidence, to decrease the margin of error the sample size... a. stays the same b. decreases c. increases 2. With same margin of error, as the level of confidence increases the sample size... a. decreases b. increases c. stays the same
Which of the following statements about confidence intervals is correct? A The value of z* you...
Which of the following statements about confidence intervals is correct? A The value of z* you use when constructing a confidence interval will affect where the center of the interval is. B If you construct a confidence interval for a population proportion and the interval ends up being from 0.20 to 0.40, this means the population proportion is definitely between 0.20 and 0.40. C A confidence interval is an interval of values computed from sample data that is likely to...
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a...
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a random sample of 32 computers, the mean repair cost was $143 with a sample standard deviation of $35 (Section 6.2) Margin of error, E. <με. Confidence Interval: O Suppose you did some research on repair costs for computers and found that the population standard deviation, a,- $35. Use the normal distribution to construct a 95% confidence interval the population mean, u. Compare the results....
If you are constructing a confidence interval for a population mean, for the same confidence level,...
If you are constructing a confidence interval for a population mean, for the same confidence level, the width of the confidence interval will __________ as the sample size increases. Decrease Increase Stay the same Depends on the sample size
(C) If the confidence levels were 99.5% rather than 99.9% would the margin of error be...
(C) If the confidence levels were 99.5% rather than 99.9% would
the margin of error be larger or smaller than the result in part
(a) ? Explain.
The margin of error would be ( larger or smaller ) , since ( an
increase or a decrease ) in the confidence level will ( decrease or
increase ) the critical value z a/2.
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4 10.4 Confidence Intervals for Population Proportion Calculate the margin of error for Contidence intervals for a propon Question Ramon wants to estimate the percentage of people who play games on their phones. He surveys 300 individuals and finds that 234 play games on their phones Find the margin of error for the confidence interval for the population proportion with a 90% confidence level ENTO E01 2002 2000 1.28216451.9602.326 2570 Use the table of common scores above • Round the...
QUESTION 3 All things being equal, which is correct? As the confidence level increases, the margin of error gets larger. As the sample size increases, the confidence interval gets wider. As the standard deviation increases, the margin of error gets smaller. As the sample mean increases, the margin of error gets larger. Which of the following is correct? As the sample size increases, the confidence level decreases. As the confidence level increases, the width of the confidence interval decreases. As...
Constructing Confidence Intervals, Part 1: Estimating Proportion
Assume that a sample is used to estimate a population proportion p.
Find the margin of error E that corresponds to the given statistics
and confidence level: In a random sample of 200 college students,
110 had part-time jobs. Find the margin of error for the 98%
confidence interval used to estimate, for the entire population of
college students, the percentage who have part-time jobs. Round
your answer to three decimal places.
Please...
19. When calculating a confidence interval, keeping the sample size the same but decreasing the confidence level, will a. decrease the width of the confidence interval b. decrease the margin of error c. make us less sure that our confidence interval contains the true parameter d. all of the above 20. A research company polled a random sample of 799 U.S. teens about internet use.0.49 of those teens reported that they had misrepresented their age online to gain access to...
Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 92, with a sample size of (a) 400,(b) 1800. What is the effect of the sample size? 2. The margin of error for a 95% confidence interval with a sample size of 400 is (Round to the nearest tenth as needed.) b. The margin of error for a 90% confidence interval with a sample size of 1600 is (Round...
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a random sample of 32 computers, the mean repair cost was $143 with a sample standard deviation of $35 (Section 6.2) Margin of error, E. <με. Confidence Interval: O Suppose you did some research on repair costs for computers and found that the population standard deviation, a,- $35. Use the normal distribution to construct a 95% confidence interval the population mean, u. Compare the results....
(C) If the confidence levels were 99.5% rather than 99.9% would
the margin of error be larger or smaller than the result in part
(a) ? Explain.
The margin of error would be ( larger or smaller ) , since ( an
increase or a decrease ) in the confidence level will ( decrease or
increase ) the critical value z a/2.
SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their...
4 10.4 Confidence Intervals for Population Proportion Calculate the margin of error for Contidence intervals for a propon Question Ramon wants to estimate the percentage of people who play games on their phones. He surveys 300 individuals and finds that 234 play games on their phones Find the margin of error for the confidence interval for the population proportion with a 90% confidence level ENTO E01 2002 2000 1.28216451.9602.326 2570 Use the table of common scores above • Round the...
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