With a view to manage the availability of classrooms for in-person lectures in the lightof the pandemic situation being unstable, a university with a large enrolment randomlysampled 1175 students. Of these students, 751 responded to prefer in-person lectures.In order to infer the fraction (proportion) of students who prefer in-person lectures (p):(i)dence interval for p.Check all the conditions or assumptions required for constructing a confi-(ii)Compute the standard error of sample proprtion (p).(iii)Obtain a 95% confidence interval for p. What is the margin of error?The university management wanted to see 30% smaller margin of error but(iv)with the same confidence as in part (ii), determine the sample size.

As per bartleby guideline expert have to answer first question three subparts only dear student…

With a view to manage the availability of classrooms for in-person lectures in the light of the pandemic situation being unstable, a university with a large enrolment randomly sampled 1175 students. Of these students, 751 responded to prefer in-person lectures. In order to infer the fraction (proportion) of students who prefer in-person lectures (p): Check all the conditions or assumptions required for constructing a confi- (i) dence interval for p. (ii) Compute the standard error of sample proprtion (p). (iüi) Obtain a 95% confidence interval for p. What is the margin of error? (iv) with the same confidence as in part (ii), determine the sample size. The university management wanted to see 30% smaller margin of error but

With a view to manage the availability of classrooms for in-person lectures in the light of the pandemic situation being unstable, a university with a large enrolment randomly sampled 1175 students. Of these students, 751 responded to prefer in-person lectures. In order to infer the fraction (proportion) of students who prefer in-person lectures (p): Check all the conditions or assumptions required for constructing a confi- (i) dence interval for p. (ii) Compute the standard error of sample proprtion (p). (iüi) Obtain a 95% confidence interval for p. What is the margin of error? (iv) with the same confidence as in part (ii), determine the sample size. The university management wanted to see 30% smaller margin of error but

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

With a view to manage the availability of classrooms for in-person lectures in the light
of the pandemic situation being unstable, a university with a large enrolment randomly
sampled 1175 students. Of these students, 751 responded to prefer in-person lectures.
In order to infer the fraction (proportion) of students who prefer in-person lectures (p):
(i)
dence interval for p.
Check all the conditions or assumptions required for constructing a confi-
(ii)
Compute the standard error of sample proprtion (p).
(iii)
Obtain a 95% confidence interval for p. What is the margin of error?
The university management wanted to see 30% smaller margin of error but
(iv)
with the same confidence as in part (ii), determine the sample size.

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