According to an IRS study, 30% of taxpayers can prepare, copy, and electronically file a 1040 tax form between 1.5 and 2.0 hours. A consumer watchdog agency selects a random sample of 25 taxpayers. What is the probability that, in a random sample of 25, 50% or more taxpayers complete form 1040 between 1.5 and 2.0 hours?
a. Test the conditions necessary to apply the central limit theorem. Are they satisfied? Why?
b. Find and interpret the probability in the exercise.