Question

the table below shows the data collected from a survey on a random sample of 250 people in the town of hiddensburg. the survey asks for their preferred type of car.
type of car | crossover | minlvan | sedan | suv
number of respondents | 30 | 117 | 78 | 25
which one of the following statements could be concluded about the preferred type of car for the people of hiddensburg?
a more people in the town of hiddensburg prefer either a crossover type of car or an suv type of car than a minivan type of car.
b more people in the town of hiddensburg prefer a sedan type of car than an suv type of car.
c more than half of the people in the town of hiddensburg prefer a sedan type of car.
d more than half of the people in the town of hiddensburg prefer a minivan type of car.

Explanation:

Step1: Calculate total of Crossover+SUV

$30 + 25 = 55$

Step2: Compare to Minivan count

$55 < 117$, so A is false.

Step3: Compare Sedan and SUV counts

$78 > 25$, so B is true.

Step4: Check half of total respondents

$\frac{250}{2} = 125$

Step5: Compare to Sedan count

$78 < 125$, so C is false.

Step6: Compare to Minivan count

$117 < 125$, so D is false.

Answer:

B. More people in the town of Hiddensburg prefer a sedan type of car than an SUV type of car.