Which of the following would produce a confidence interval with a larger margin of error than...
Which of the following would produce a confidence interval with
a larger margin of error than the 95% confidence interval with a
sample size of 50?
A. using a sample size of 100 and fix the confidence level.
B. using a confidence level of 90% and fix the sample size.
C. using a confidence level of 99% and fix the sample size.
D. using a sample size of 500 and fix the confidence level.
E. None of the above.
Homework Answers
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Which of the following would produce a confidence interval with
a larger margin of error than...
(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.
SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their...
6.12 Margin of error and the confidence interval. A study of stress on the campus of...
6.12 Margin of error and the confidence interval. A study of stress on the campus of your university reported a mean stress level of 78 (on a 0 to 100 scale with a higher score indicating more stress) with a margin of error of 5 for 95% confidence. The study was based on a random sample of 64 undergraduates more e. The study w (a) Give the 95% confidence interval. (b) If you wanted 99% confidence for the same study,...
Using the same sample data, the margin of error for an 80% confidence interval is larger...
Using the same sample data, the margin of error for an 80% confidence interval is larger than the margin of error for a 90% confidence interval. True or false? why? I thought it was false, but I think I might be wrong.
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...
11. [6 points] Using a sample of 100 children, a 95% confidence interval for the proportion...
11. [6 points] Using a sample of 100 children, a 95% confidence interval for the proportion of children under the age of 18 who had asthma was constructed to be (0.085,6.23) a) Which of the following would produce a confidence interval which is narrower than the constructed 95% confidence interval? Sample 150 children rather than 100, (Maintain the confidence level at 95%) Sample only 80 children rather than 100, (Maintain the confidence level at 95%) . (b) Which of the...
To calculate a confidence interval, the margin of error (E) must first be calculated. The Margin...
To calculate a confidence interval, the margin of error (E) must first be calculated. The Margin of Error, E, for means is: E = 1.96*s/sqrt(n), where s is the sample standard deviation, n is the sample size. The “sqrt” stands for square root. The Margin of Error, E, for proportions is: E = 1.96*sqrt[p*(1-p)/n], where s is the sample standard deviation, n is the sample size, and p is the proportion. Use the Confidence Interval formula above, and the correct...
It is desired to have a margin of error of 100 with 99% confidence. The population...
It is desired to have a margin of error of 100 with 99% confidence. The population standard deviation is 500. What is the necessary sample size? To reduce the margin of error to 50 what would be the necessary sample size?
Recall the formula for a proportion confidence interval is p^?zp^(1?p^)n?????????<p<p^+zp^(1?p^)n????????? Thus, the margin of error is...
Recall the formula for a proportion confidence interval is p^?zp^(1?p^)n?????????<p<p^+zp^(1?p^)n????????? Thus, the margin of error is E=zp^(1?p^)n????????? . NOTE: the margin of error can be recovered after constructing a confidence interval on the calculator using algebra (that is, subtracting p^ from the right endpoint.) In a simple random sample of size 59, taken from a population, 20 of the individuals met a specified criteria. a) What is the margin of error for a 90% confidence interval for p, the population...
Question Help 8.4.3 Determine the margin of error for a confidence interval to estimate the population...
Question Help 8.4.3 Determine the margin of error for a confidence interval to estimate the population proportion for the following confidence levels with a sample proportion equal to 0.38 and n 100. a, 90% b. 95% c.98% Click the icon to view a portion of the Cumulative Probabilities for the Standard Normal Distribution table a. The margin of error for a confidence interval to estimate the population proportion for the 90% confidence level is Round to three decimal places as...
113 The margin of error for the 95% confidence interval of the mean fill is. 2...
113 The margin of error for the 95% confidence interval of the mean fill is. 2 A 0.48 3 B 0.41 4 C 0.36 5 D 0.32 714 As a class project, each of 280 students taking E270 is required to obtain a sample of n = 100 students and build a B 95% confidence interval for the distance travelled to the campus. The instructor thus receives 280 different interval e estimates. The instructor would expect_ ofthese intervals to capture...
(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...
6.12 Margin of error and the confidence interval. A study of stress on the campus of your university reported a mean stress level of 78 (on a 0 to 100 scale with a higher score indicating more stress) with a margin of error of 5 for 95% confidence. The study was based on a random sample of 64 undergraduates more e. The study w (a) Give the 95% confidence interval. (b) If you wanted 99% confidence for the same study,...
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...
11. [6 points] Using a sample of 100 children, a 95% confidence interval for the proportion of children under the age of 18 who had asthma was constructed to be (0.085,6.23) a) Which of the following would produce a confidence interval which is narrower than the constructed 95% confidence interval? Sample 150 children rather than 100, (Maintain the confidence level at 95%) Sample only 80 children rather than 100, (Maintain the confidence level at 95%) . (b) Which of the...
Question Help 8.4.3 Determine the margin of error for a confidence interval to estimate the population proportion for the following confidence levels with a sample proportion equal to 0.38 and n 100. a, 90% b. 95% c.98% Click the icon to view a portion of the Cumulative Probabilities for the Standard Normal Distribution table a. The margin of error for a confidence interval to estimate the population proportion for the 90% confidence level is Round to three decimal places as...
113 The margin of error for the 95% confidence interval of the mean fill is. 2 A 0.48 3 B 0.41 4 C 0.36 5 D 0.32 714 As a class project, each of 280 students taking E270 is required to obtain a sample of n = 100 students and build a B 95% confidence interval for the distance travelled to the campus. The instructor thus receives 280 different interval e estimates. The instructor would expect_ ofthese intervals to capture...
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