Scenario. Among all travelers in San Francisco Airport (population), the paramet

Question

Scenario. Among all travelers in San Francisco Airport (population), the parameter of interest is the proportion of travelers having illegal items, denoted by pi. The below is a hypothetical population of size 10,000. Suppose you survey all people and force everyone to answer (whether they are willing or unwilling). In this hypothetical scenario, what is the value of pi? What is the proportion of travelers having illegal items among people who are willing to answer? In the volunteer sampling It is likely to underestimate pi. It is likely to overestimate pi. It is likely to estimate pi accurately.

Explanation / Answer

8) pi = proportion of traveller having illegal item = 100/10000 = 0.01

9) given they are willing to answer

pi = 10 / 9900 = 0.0010101

10) in volunteer sampling ,

it is likely to underestimate pi , (as 0.00101 < 0.01)

those who have illegal will not be volunteering ,thus pi will decrease

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