A Harris Poll indicated that of those adults who drive and...

A Harris Poll indicated that of those adults who drive and have a cell phone, the probability that a driver between the ages of 18 and 24 sends or reads text messages is $0.51 .$ Can this probability be applied to all drivers with cell phones? Explain.

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Key Concepts

Sampling Bias and Representativeness

Sampling bias occurs when the sample used does not adequately represent the overall population. Since the probability in question is based solely on data from drivers aged 18 to 24, there is a potential bias if older or other age groups behave differently with respect to texting while driving.

Population Definitions

Understanding the specific definition of the population from which data is drawn is essential. Here, the defined sample includes only drivers aged 18 to 24, which is a subset of all drivers with cell phones. This distinction is crucial because characteristics of one subgroup may not translate to the whole group without further evidence.

Generalization

Generalization refers to the process of extending results from a sample to a larger population. In this case, the probability calculated for drivers aged 18 to 24 cannot automatically be generalized to all drivers with cell phones unless it's shown that the behavior of this subgroup accurately reflects the behavior of the entire population.

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