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

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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.
Transcribed Image Text: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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