Show working with explanation for: The prime Minister of a small Caribbean Island stated that 95% of the population was vaccinated from the Covid-19 virus. The opposition believes that the Minister is overstating the proportion of vaccinated citizens. He randomly selects 300 citizens and found that 240 of them were fully vaccinated. i.Calculate a 99% confidence interval for the true proportion of all citizens who were vaccinated. ii.Interpret you answer in i). Thank you.

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