Question: Frank N. Magid Associates conducted a telephone survey of 1,109 consumers to obtain the number of cell phones in houses. The survey obtained the following results:

Cell Phones       0        1        2          3          ≥4

Percent           19       26      33        13          9

a. Determine the sample proportion of households that own two or more cell phones.

b. If the proportion of households that own two or more cell phones is equal to 0.50, determine the probability that in a sample of 1,109 consumers at least 599 would own two or more cell phones.

c. The margin of error of the survey was ±3 percentage points. This means that the sample proportion would be within 3 percentage points of the population proportion. If the population proportion of households that had two or more cell phones was 0.50, determine the probability that the margin of error would be ±3 percentage points.