2. Suppose you want to estimate the proportion of vehicles on the road in your hometown that

are sport utility vehicles (SUVs). You decide to stand at the intersection closest to your

home between 7 and 8 A.M. every morning for a week, keeping track of how many vehicles

go by and how many of them are SUVs.

a. What is the population of interest in this study?

b. What is the variable of interest in this study?

c. What is the parameter of interest and what symbol should we use to denote it?

d. What is the statistic, what symbol should we use to denote it, and what is its value?

e. Is this a simple random sample?

f. Is the sampling method likely to be biased for estimating the proportion of vehicles

on the road in your hometown that are SUVs? Explain.

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Answer: kindly check explanation

Step-by-step explanation:

A.) The population of interest refers to all the entire observations belonging to a certain group or category in a study, hence all vehicles on the road in your hometown is the population of interest in the scenario described above.

B.) Variable of interest refers to what we aim to study, measure or observe in our population or sample, Hence, the variable of Interest is to determine if a certain vehicle is an SUV or NOT

C.) What is the parameter of interest and what symbol should we use to denote it?

The parameter are numeric computations derived from a population. Which is the proportion of SUV’s in the population of vehicles in hometown

d. What is the statistic, what symbol should we use to denote it, and what is its value?

Statistic derived from the sample and it is hence the proportion of SUV’s that pass the intersection between 7 – 8 am (as the number of vehicles that pass at this time is only a subset of the entire vehicle population).

E.) Yes it is a simple Random sampling, because the number of SUV’s or vehicles are entirely by chance.

F.) Given the time of sampling and the fact that SUV’s are mostly driven by official workers and parents, the number of SUV’s may likely surge at this time due to those leaving for work and kids being dropped at their various schools.