Part $1(1$ point$)$

See Hint

In December $2020,$ the U$.$S$.$ FDA gave its approval for a vaccine for COVID$-19.$ Assume there are two family doctors, Dr$.$ Jekyll and Dr$.$ Hyde. Dr$.$ Jekyll tells his patients that if they get vaccinated there is a $95\%$ chance they will not get infected with the virus. Dr$.$ Hyde tells his patients that if they get vaccinated there is a $5\%$ chance they will get infected.

Suppose $90\%$ of Dr$.$ Jekyll's patients get vaccinated, but only $65\%$ of Dr$.$ Hyde's patients get vaccinated. Assuming that people are not fully rational, the difference in each doctor's vaccination rate is likely due to

Part $2(1$ point$)$

See Hint

As more and more people get vaccinated to prevent infection from COVID$-19,$ universities around the country will have to decide whether returning students must get vaccinated against COVID$-19$ before they attend cla$.$ Consider schools that currently have no vaccination requirements at all. They may be reluctant to impose such a requirement even when the change would be beneficial. If administrators are not fully rational, this decision is most likely due to