1. Among factors considered by car buyers in the US, safety often ranks among the top. Let p denote the true (population) proportion of car buyers in the US who rank safety as one of the top 3 factors they consider when deciding what car to buy. In a market survey of 100 people, it was found that 64 listed safety as one of the top 3 reasons to buy a car.

What is the appropriate set of hypotheses to test such that a possible outcome of the test would indicate; "there is sufficient statistical evidence that the true proportion of car buyers who rank safety among the top 3 reasons is less than 67%"?

a) H0 : p ≥ 0:67 vs. HA : p < 0:67

b) H0 : p ≤ 0:67 vs. HA : p > 0:67

c) H0 : p ≥ 0:64 vs. HA : p < 0:64

d) H0 : p ≤ 0:64 vs. HA : p > 0:64

2. In which of the following ranges does the p-value of the corresponding hypothesis test lie?

a) 0:00 < p < 0:01

b) 0:01 ≤ p < 0:05

c) 0:05 ≤ p < 0:10

d) 0:10 ≤ p < 1:00