Suppose a government official wants to know whatproportion of residents are infected with the an illness. There area limited number of tests. So a random sample of 180 residents wastaken, and these residents were tested for the illness. Of these180 people, 36 were found to be infected with the illness. a) Finda 95% confidence interval for the true proportion of residents whoare infected. b) a healthcare professional says they suspect thatfewer than 30% of residents were infected at that time. Use ahypothesis test ( significance level=0.01) to determine if thisstatement is supported by the data and be sure to show the samplesize is large enough to make estimates in theanalysis.
