A drug company is developing a new drug called Phantol that ithopes will provide relief to patients who suffer from respiratoryinfections. Phantol was given to a random sample of 450 patientswho had upper respiratory infections and 365 of these patientsexperienced relief. The drug is marketable if more than 75% ofpatients experience relief while using Phantol. a) Using a 5%significance level, test the hypothesis that more than 75% ofpatients who suffer from upper respiratory infections experiencerelief when using Phantol. (4 points) b) Based on your conclusionwhat type of error might you be making? (Explain) (2 points) 7Professor: David Wozniak Final Exam c) What is the 95% confidenceinterval for the proportion of patients who should experiencerelief using Phantol? (3 points) d) What sample size would you needto find a 95% confidence interval with a margin of error of 0.02?(Hint: is it likely that the p=0.5?