Metal Tags on Penguins and Survival A study was designed to test whether applying metal tags is detrimental to a penguin. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Construct a 90 % confidence interval for the difference in proportion surviving between the metal and electronic tagged penguins ( PM - PE). Let py be the proportion of penguins with metal tags that survived and p be the proportion of penguins with electronic tags that survived. Round your answers to three decimal places. The 90% confidence interval is to