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An online survey is conducted of taxi drivers in the BC Lower Mainland regarding their COVID vaccination status. Of 80 randomly selected drivers, 73 respond "partially or fully vaccinated", 3 respond "unvaccinated", and 4 respond "prefer not to say". a) Find a 95% confidence interval for the proportion of taxi drivers in this population who declare that they are vaccinated. b) Test whether the proportion of drivers in this population who declare that they are unvaccinated is greater than 3%. Use a significance level of 5%. Be sure to include i. The null and alternative hypotheses ii. The test statistic The distribution of the test statistic under the null hypothesis The p-value The conclusion in the language of the problem ii. iv. V. C) Provide a formal interpretation of your p-value in b).

An online survey is conducted of taxi drivers in the BC Lower Mainland regarding their COVID vaccination status. Of 80 randomly selected drivers, 73 respond "partially or fully vaccinated", 3 respond "unvaccinated", and 4 respond "prefer not to say". a) Find a 95% confidence interval for the proportion of taxi drivers in this population who declare that they are vaccinated. b) Test whether the proportion of drivers in this population who declare that they are unvaccinated is greater than 3%. Use a significance level of 5%. Be sure to include i. The null and alternative hypotheses ii. The test statistic The distribution of the test statistic under the null hypothesis The p-value The conclusion in the language of the problem ii. iv. V. C) Provide a formal interpretation of your p-value in b).

MATLAB: An Introduction with Applications
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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Ps: Not sure if we should add fake data, so add 2 on successes and 4 on the sample size

An online survey is conducted of taxi drivers in the BC Lower Mainland regarding their COVID vaccination status. Of 80 randomly selected drivers, 73 respond “partially or fully vaccinated", 3 respond "unvaccinated", and 4 respond "prefer not to say". a) Find a 95% confidence interval for the proportion of taxi drivers in this population who declare that they are vaccinated. b) Test whether the proportion of drivers in this population who declare that they are unvaccinated is greater than 3%. Use a significance level of 5%. Be sure to include i. The null and alternative hypotheses ii. The test statistic The distribution of the test statistic under the null hypothesis The p-value The conclusion in the language of the problem iii. iv. V. C) Provide a formal interpretation of your p-value in b).
Transcribed Image Text:An online survey is conducted of taxi drivers in the BC Lower Mainland regarding their COVID vaccination status. Of 80 randomly selected drivers, 73 respond “partially or fully vaccinated", 3 respond "unvaccinated", and 4 respond "prefer not to say". a) Find a 95% confidence interval for the proportion of taxi drivers in this population who declare that they are vaccinated. b) Test whether the proportion of drivers in this population who declare that they are unvaccinated is greater than 3%. Use a significance level of 5%. Be sure to include i. The null and alternative hypotheses ii. The test statistic The distribution of the test statistic under the null hypothesis The p-value The conclusion in the language of the problem iii. iv. V. C) Provide a formal interpretation of your p-value in b).
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