a) A college principal decides to consult the students about a proposed change in the time of lectures. She finds that out of a random sample of 80 students, 57 are in favour of the change. i. Calculate a 95% confidence interval for the proportion of students who are not in favour of the change. State the effect on the width of such a confidence larval when the confidence level is increased. ii.

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a) A college principal decides to consult the students about a proposed change in the time of
lectures. She finds that out of a random sample of 80 students, 57 are in favour of the change.
Calculate a 95% confidence interval for the proportion of students who are not in
favour of the change.
i.
State the effect on the width of such a confidence larval when the confidence level is
increased.
ii.
Transcribed Image Text:a) A college principal decides to consult the students about a proposed change in the time of lectures. She finds that out of a random sample of 80 students, 57 are in favour of the change. Calculate a 95% confidence interval for the proportion of students who are not in favour of the change. i. State the effect on the width of such a confidence larval when the confidence level is increased. ii.
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