1. Consider again the example from problem 10.2: According to a recent estimate, about 27% of Americans plan on taking a COVID-19 vaccine within a month of when it's available. (You might want to go back and do problem 10.2 because some of the results will be used in this question.)

A. In a random sample of 100 seniors (people over 65), 28 plan to take the vaccine within a month of when it's available. Should we think of this as proving that seniors are more likely to plan on taking the vaccine within a month than other people are? Why or why not?

B. In a random sample of 100 people living in the Bay Area, 38 plan to take the vaccine within a month of when it's available. Should we think of this as proving that people in the Bay Area are more likely to plan on taking the vaccine within a month than other people are? Why or why not?