210 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 52 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 three decimal places.)(c) Calculate a 90% confidence interval for the population proportion. (Round the answer to three decimal places.) to (d) Calculate a 95% confidence interval for the population proportion. (Round the answer to three decimal places.) to (e) Calculate a 98% confidence interval for the population proportion. (Round the answer 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 decreased, the width of the interval decreases.As the confidence level is increased, the width of the interval decreases.As the confidence level is decreased, the width of the interval increases.As the confidence level is increased, the width of the interval increases.(g) On the basis of these confidence intervals, do you think that students choose numbers "randomly"? Yes or No? 210 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 52 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 three decimal places.)(c) Calculate a 90% confidence interval for the population proportion. (Round the answer to three decimal places.)to(d) Calculate a 95% confidence interval for the population proportion. (Round the answer to three decimal places.)to(e) Calculate a 98% confidence interval for the population proportion. (Round the answer 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.)O As the confidence level is decreased, the width of the interval decreases.O As the confidence level is increased, the width of the interval decreases.As the confidence level is decreased, the width of the interval increases.As the confidence level is increased, the width of the interval increases.(g) On the basis of these confidence intervals, do you think that students choose numbers "randomly"?O YeO No

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Answered: 210 students were asked to randomly…

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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Question

210 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 52 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 three decimal places.)

(c) Calculate a 90% confidence interval for the population proportion. (Round the answer to three decimal places.)
to

(d) Calculate a 95% confidence interval for the population proportion. (Round the answer to three decimal places.)
to

(e) Calculate a 98% confidence interval for the population proportion. (Round the answer 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 decreased, the width of the interval decreases.As the confidence level is increased, the width of the interval decreases.As the confidence level is decreased, the width of the interval increases.As the confidence level is increased, the width of the interval increases.

(g) On the basis of these confidence intervals, do you think that students choose numbers "randomly"?

Yes or No?