Problem: Got Milk
According to the U.S. Department of Agriculture, 58.8% of males between 20 and 39 years old consume the minimum daily requirement of calcium. After an aggressive "Got milk" advertising campaign, the USDA conducted a survey of 55 randomly selected males between the ages of 20 and 39 and found that 36 of them consume the recommended daily allowance of calcium.
a) Construct a 99% confidence interval for the above data. Show your work using the formulas and verify your work using StatCrunch.
b) Interpret this confidence interval as we learned in class.