The city council in a suburb of Raleigh is interested in the level of public support for a tax increase to support restoration of nearby parks and waterways. A marketing research firm is hired that then selects a simple random sample of 50 adult residents and contacts each to determine whether the resident would be opposed to the tax increase. Of these respondents, 15 indicate that they would be opposed to the tax increase.
What is the chance that all 50 residents in a particular neighborhood end up being the sample of residents selected?

Question

Quizplus · Accepted Answer

The chance of selecting a particular sample of 50 residents is the same as any other set of 50 residents because the sample was selected through a simple random sampling method, meaning that each individual resident had an equal chance of being selected. Therefore, there is no bias towards any particular group or neighborhood, and the chance of selecting any particular sample is equal.

The City Council in a Suburb of Raleigh Is Interested