Question Twoa) The prime Minister of a small Caribbean Island stated that 95% of the population wasvaccinated from the Covid-19 virus. The opposition believes that the Minister is overstatingthe proportion of vaccinated citizens. He randomly selects 300 citizens and found that 240of them were fully vaccinated.i.Calculate a 99% confidence interval for the true proportion of all citizens who werevaccinated.Interpret you answer in i).State the null and alternative hypothesis of this test.ii.iii.iv.Calculate the value of the test statistics.At the 5% level of significance, determine if the Politian overstated the proportion ofvaccinated citizen. Use the classical approach.V.b) The following data shows the number of hours slept by a patient in 1 weeks12180916111008i.Calculate the unbiased estimate for the population meanii.Calculate the unbiased estimate for the population standard deviationiii.Calculate a 95% confidence interval for the mean number of hours

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a) 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 your answer in i). iii. State the null and alternative hypothesis of this test. iv. Calculate the value of the test statistics. v. At the 5% level of significance, determine if the Politician overstated the proportion of vaccinated citizens. Use the classical approach.
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