A company wants to estimate the proportion of people who are likely to purchase electric shavers from those who watch the FIFA World Cup. A random sample obtained information from 150 people who were identified as persons who watch football telecasts. Suppose that the proportion of those likely to purchase electric shavers in the population who watch the telecast is 0.30.
a. The probability is 0.15 that the sample proportion watching the telecast exceeds the population proportion by how much?
b. The probability is 0.01 that the sample proportion is lower than the population proportion by how much?
c. The probability is 0.20 that the sample proportion differs from the population proportion by how much?