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 you answer in i). iii. State the null and alternative hypothesis of this test. iv. Calculate the value of the test statistics. At the 5% level of significance, determine if the Politian overstated the proportion of vaccinated citizen. Use the classical approach. V.
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 you answer in i). iii. State the null and alternative hypothesis of this test. iv. Calculate the value of the test statistics. At the 5% level of significance, determine if the Politian overstated the proportion of vaccinated citizen. Use the classical approach. V.
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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Question
![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 you answer in i).
iii.
State the null and alternative hypothesis of this test.
iv.
Calculate the value of the test statistics.
At the 5% level of significance, determine if the Politian overstated the proportion of
vaccinated citizen. Use the classical approach.
V.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab89f2fd-2d90-4d55-9e01-3ab3450cbdbc%2Faceea319-f55b-4793-bec4-42f3ef200cb2%2F740c4z_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 you answer in i).
iii.
State the null and alternative hypothesis of this test.
iv.
Calculate the value of the test statistics.
At the 5% level of significance, determine if the Politian overstated the proportion of
vaccinated citizen. Use the classical approach.
V.
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