The Bureau of Transportation Statistics reports that 80% of flights for a particular airline arrive on time. A random sample of 400 flights from this airline is taken, and the arrival status (on time or delayed) for each flight is recorded

.a. What variable was recorded for this sample of flights? Is this variable categorical or quantitative?

b. Completely describe the sampling distribution of the sample proportion of on-time flights when samples of size

400 are selected.

c. It was found that 301 of the sampled flights arrived on time. Use this information to estimate the proportion of

on-time arrivals with 96% confidence.

d. Does the interval support the report by the Bureau of Transportation Statistics that 80% of flights for this airline

arrive on-time? Explain.