## Question

###### (10 points) A new flu vaccine was developed to protect elderly people against viral infection during the winter season. In 120 patients of thepatients who were vaccinated. Of the 70 patients, 56 of the patients had no flu symptoms. 50 of the patients who were not vaccinated; 28 patients have no flu symptoms_a) Determine the confidence interval (CI) at 95% (2*=1.96) level for the probability that a patient had no flu symptoms when new vaccine is used during the winter season. What is the sample

(10 points) A new flu vaccine was developed to protect elderly people against viral infection during the winter season. In 120 patients of thepatients who were vaccinated. Of the 70 patients, 56 of the patients had no flu symptoms. 50 of the patients who were not vaccinated; 28 patients have no flu symptoms_ a) Determine the confidence interval (CI) at 95% (2*=1.96) level for the probability that a patient had no flu symptoms when new vaccine is used during the winter season. What is the sample proportion (p) of patients with no symptoms when vaccine is used? CI= b) Carry out a statistical test at the a=0.05 level for whether the probability of vaccinated patients with no flu symptoms higher than the proportion of people who are not vaccinated Determine the null and alternative hypothesis_ What is the pooled sample proportion (p)?