Researchers are studying the population eastern gray squirrels. About 22 percent of the population weighs over .5 kilogram (kg). A random sample of 60 squirrels will be selected from the population of eastern gray squirrels for further analysis. What is the probability that the proportion of eastern gray squirrels that weigh over .5 kg is at most .25?

Researchers decide to take another sample from population of the western gray squirrel. About 36% of the population weighs over .5 kg. A random sample of 120 squirrels will be selected for further analysis. Describe the sampling distribution of the difference in sample proportions (Western Gray minus Eastern Gray)

What is the probability that the sample proportion of western gray squirrels are larger than the sample proportion of eastern gray squirrels?