Question

Roadblock State police set up a roadblock to estimate the percentage of cars with up-to-date registration, insurance, and safety inspection stickers. They usually find problems with about $10 \%$ of the cars they stop.

Name: Problem 21, Chapter 11: Stats Data and Models
Uploaded: 2022-11-02T23:49:22-08:00
Duration: 2 min 35 s
Channel: James Kiss
Description: Roadblock State police set up a roadblock to estimate the percentage of cars with up-to-date registration, insurance, and safety inspection stickers. They usually find problems with about 10 % of the cars they stop.

   Roadblock State police set up a roadblock to estimate the percentage of cars with up-to-date registration, insurance, and safety inspection stickers. They usually find problems with about $10 \%$ of the cars they stop.

Stats Data and Models

Richard D. De Veaux,… 4th Edition

Chapter 11, Problem 21

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Solved by Expert James Kiss

11/02/2022

Step 1

In this case, the population is all the cars in the US. This is because the state police are trying to estimate the percentage of cars with up-to-date registration, insurance, and safety inspection stickers in the entire country. So, the population is all cars in Show more…

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Roadblock State police set up a roadblock to estimate the percentage of cars with up-to-date registration, insurance, and safety inspection stickers. They usually find problems with about $10 \%$ of the cars they stop.

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Key Concepts

Sampling

Sampling is the process of selecting a subset of individuals or items from a larger population in order to estimate characteristics of the whole group. It relies on the assumption that the sample is representative of the population, allowing valid generalizations about trends or proportions.

Estimation of Proportions

Estimation of proportions involves using data from a sample to infer the percentage of the overall population that exhibits a particular attribute. This concept is central in statistics when determining, for example, the prevalence of a certain characteristic based on a random or representative sample.

Statistical Inference

Statistical inference is the process of drawing conclusions about a population's characteristics based on a sample. This includes creating estimates, testing hypotheses, and quantifying uncertainty, typically through measures like confidence intervals and p-values.

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