1. Express each claim with it's null and alternative hypothesis statements, $H_0$ and $H_a$, by using the correct symbolic forms: $\mu$, $p$, $=$, $\neq$, $<$, $>$
a.) At least half the students at this school carpool to campus.
b.) The average number of sick days taken annually by individual faculty members at this school is 4.
c.) The mean annual rainfall for this county is no more than 42".
d.) More than 25% of the injuries caused by fireworks occur to hands.
e.) 89% of people using the Sleep Number mattress experience improved sleep quality.