Question

Due to various socio-economic factors, residents of a particular city have an unusually high level of attendance at private schools. A study is conducted to determine whether there is any difference between the rate at which males and females choose private schools over public schools in this city. A random sample of 78 males from the city are contacted and asked if they attend or ever attended a private school. The number that did is 37. Similarly, a random sample of 146 females from the city are contacted and asked the same question. The number that attended a private school is 72. Let Pi symbol1 denote the population proportion of males that attended a private school. Similarly, let Pi symbol2 denote the population proportion of females that attended a private school. Construct a 90% confidence interval for the difference between these two proportions (Pi symbol1 - Pi symbol2). Give your answers to 3 decimal places. You may find this standard normal table useful. ≤ Pi symbol1 - Pi symbol2 ≤

Answer 1