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It is desired to estimate the proportion of students at UM who consider live Zoom lecture...

It is desired to estimate the proportion of students at UM who consider live Zoom lecture is an effective way to conduct online lectures. Responses were randomly collected from 50 students and the 95% confidence interval was calculated to be (0.227, 0.493). Which of the following interpretation is correct?

a. We are 95% confident that the proportion of all students at UM who consider live Zoom lecture is an effective way to conduct online lectures falls between 0.227 and 0.493.

b. 95% of the sampled responses fell between 0.227 and 0.493.

c. We are 95% confident that the proportion of the 50 students at UM who consider live Zoom lecture is an effective way to conduct online lectures falls between 0.227 and 0.493.

d. We are 95% confident that the mean response rate among all students at UM falls between 0.227 and 0.493.

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