170 students were asked to randomly pick one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The number 7 was picked by 53 students. (a) For the sample, calculate the proportion of students who picked 7. (Round the answer to three decimal places.) (b) Calculate the standard error for this sample proportion. (Round the answer to four decimal places.) (c) Calculate a 90% confidence interval for the population proportion. (Round the answers to three decimal places.) to (d) Calculate a 95% confidence interval for the population proportion. (Round the answers to three decimal places.) to (e) Calculate a 98% confidence interval for the population proportion. (Round the answers to three decimal
170 students were asked to randomly pick one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The number 7 was picked by 53 students. (a) For the sample, calculate the proportion of students who picked 7. (Round the answer to three decimal places.) (b) Calculate the standard error for this sample proportion. (Round the answer to four decimal places.) (c) Calculate a 90% confidence interval for the population proportion. (Round the answers to three decimal places.) to (d) Calculate a 95% confidence interval for the population proportion. (Round the answers to three decimal places.) to (e) Calculate a 98% confidence interval for the population proportion. (Round the answers to three decimal
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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170 students were asked to randomly pick one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The number 7 was picked by 53 students.
(a) For the sample, calculate the proportion of students who picked 7. (Round the answer to three decimal places.)
(b) Calculate the standard error for this sample proportion. (Round the answer to four decimal places.)
(c) Calculate a 90% confidence interval for the population proportion. (Round the answers to three decimal places.)
to
(d) Calculate a 95% confidence interval for the population proportion. (Round the answers to three decimal places.)
to
(e) Calculate a 98% confidence interval for the population proportion. (Round the answers to three decimal places.)
to
(f) What do the results of parts (c)-(e) indicate about the effect of confidence level on the width of a confidence interval? (Select all that apply.)
(b) Calculate the standard error for this sample proportion. (Round the answer to four decimal places.)
(c) Calculate a 90% confidence interval for the population proportion. (Round the answers to three decimal places.)
to
(d) Calculate a 95% confidence interval for the population proportion. (Round the answers to three decimal places.)
to
(e) Calculate a 98% confidence interval for the population proportion. (Round the answers to three decimal places.)
to
(f) What do the results of parts (c)-(e) indicate about the effect of confidence level on the width of a confidence interval? (Select all that apply.)
As the confidence level is increased, the width of the interval decreases.
As the confidence level is increased, the width of the interval increases.
As the confidence level is decreased, the width of the interval decreases.
As the confidence level is decreased, the width of the interval increases.
(g) On the basis of these confidence intervals, do you think that students choose numbers "randomly"?
Yes
No
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