A city planner is studying two characteristics of households: • D : “the household…
MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
A city planner is studying two characteristics of households:
• D : “the household owns at least one dog”
• N : “the household subscribes to a printed daily newspaper.”
(i) Explain clearly what it means to say that the events D and N are independent.
(ii) Give two plausible real-world reasons why the assumption of independence between D and N might fail.
(iii) Describe, in words only, how survey data collected from a random sample of households could be used to test whether D and N are independent.