Mathematical Evaluation of Covid Vaccination Safety and Efficacy

In a given country, we have the set of alive people and the subset of vaccinated people. During a period of 4 weeks, some people that are Covid-19 positive died. Thus, we have another set of Covid-19 positive dead persons that has as its subset Covid-19 positive dead vaccinated persons. We will compare the statistical number of Covid-19 positive dead vaccinated persons with the proportional number of Covid-19 positive dead vaccinated persons, valid in case the vaccines do not affect health. The proportional number must be always bigger than the number of Covid-19 positive dead vaccinated persons provided by official statistical data. In this case, covid vaccines are safe and efficient in saving human lives.