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In a study conducted in March 2020, 144 of 200 randomly selected students said that Liverpool...

In a study conducted in March 2020, 144 of 200 randomly selected students said that Liverpool football team were their favourite team.

(a) Construct a 98% confidence interval to estimate the true proportion of students who said that Liverpool football team were their favourite team.

(b) How large a sample would be necessary to estimate the true proportion of with a margin of error of 5%, with 95% confidence?

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