/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 30 In 2008 , the National Highway T... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In 2008 , the National Highway Traffic Safety Administration reported that the number of pedestrian fatalities in Miami-Dade County, Florida, was 65 and that the number in Hillsborough County, Florida, was \(45 .\) Can we conclude that pedestrians are safer in Hillsborough County? Why or why not?

Short Answer

Expert verified
No, we cannot conclude that pedestrians are safer in Hillsborough County solely based on the number of pedestrian fatalities. These figures must be contextualized with the population size of each county for a more accurate representation of pedestrian safety.

Step by step solution

01

Understanding the problem

First, we need to understand the problem at hand. In 2008, there were 65 pedestrian fatalities in Miami-Dade County and only 45 in Hillsborough County. From these figures alone, one might speculate that pedestrians are safer in Hillsborough County.
02

Analyze the Data

Before jumping to conclusions, it's essential to remember that the number of deaths is not the only statistic that matters. The population of each county can greatly influence the number of fatalities. For instance, if Miami-Dade County has a drastically larger population, the larger number of fatalities might be expected.
03

Draw Conclusions

Without knowledge of the population sizes of these two counties looking at the raw fatality data alone doesn't give us an accurate representation of pedestrian safety in both counties. Even if Hillsborough County has fewer deaths, it could potentially still be more dangerous if its population is much smaller.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Statistical Analysis
Statistical Analysis plays a crucial role in understanding and interpreting data objectively. When we stumble upon a seemingly obvious statistic, like the number of pedestrian fatalities in two counties, we must resist the urge to make immediate assumptions. Instead, we resort to various statistical methods and principles to unveil the story behind the numbers.
The primary goal of statistical analysis in this context is to determine if there is a significant difference between the safety of pedestrians in Miami-Dade and Hillsborough counties. By analyzing the data, we can establish whether observed differences in fatalities are due to actual conditions or merely random variations.
Statistical analysis often involves steps such as collecting data, organizing it in meaningful ways, and applying statistical tests to make inferences about larger populations. In this scenario, understanding concepts like inferential statistics and confidence intervals could enhance our conclusion about pedestrian safety.
Population Data Interpretation
Interpreting population data is vital when comparing statistics like fatality rates across different regions. One of the first things we must consider is the size of the population. Simply looking at the number of deaths does not provide a complete picture of safety unless we factor in the population size. For example, a higher number of fatalities in a county with a larger population might still represent a lower risk per person.
To effectively interpret population data, calculate the fatality rate, which is the number of fatalities per a set number of people, typically per 100,000 individuals. This helps create a fair comparison between regions of varying population sizes.
The challenge in interpreting population data lies in acquiring accurate and up-to-date information, but once obtained, it allows us to standardize comparisons and make more informed decisions, avoiding misleading conclusions based solely on raw numbers.
Fatality Rate Comparison
Comparing fatality rates between different areas provides a clearer understanding of safety rather than relying on overall numbers alone. The fatality rate is calculated by dividing the number of fatalities by the population and then multiplying by 100,000, to express the rate per 100,000 individuals. This normalization allows us to compare counties fairly, regardless of population size differences.
For instance, even if Miami-Dade County reports 65 fatalities while Hillsborough reports 45, knowing the population sizes might reveal that Hillsborough actually has a higher fatality rate. This makes their roads potentially more dangerous on a per-person basis.
  • Calculate:
    1. Number of fatalities
    2. Population size
    3. Fatality rate using the formula
Engaging in such a comparison will enable us to draw more accurate conclusions about pedestrian safety, ensuring minimal error due to misinterpretation of data. Effective fatality rate comparisons are crucial tools for policymakers to prioritize safety measures where they are most needed.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Coding Explain why the variable Male, in Table \(1 \mathrm{~A}\), is categorical, even though its values are numbers. Often, it does not make sense, or is not even possible, to add the values of a categorical variable. Does it make sense for Male? If so, what does the sum represent?

A day at the Spa A sample of working professionals in the age group of \(25-30\) were questioned to determine how much they would be willing to pay for a day at the spa. The males responded (in dollars): \(200,250,330,275\), and \(300 .\) The female students responded: \(300,350,250\), and 215 . Write these data as they might appear in (a) stacked format with codes and (b) unstacked format.

The 2009 World Almanac and Book of Facts reported that in 2007 there were \(12,608,000\) people age 16 or older who had a "go outside the home" disability and that this was 5.5\% of the U.S. population (of this age group). These are people who cannot go outside the home without help. How large was the total population (of this age group) in 2007 ?

A study by Pezzoli and Cereda was reported in Neurology, May \(28,2013 .\) The report said that the use of pesticides is associated with the development of Parkinson's disease, which is a neurological disease that causes people to shake. The study reported that exposure to bug killers and weed killers is "associated with" an increase of \(33 \%\) to \(80 \%\) in the chances of getting Parkinson's. Does this study show that pesticides cause Parkinson's disease? Why or why not? (Source: Pezzoli and Cereda, Exposure to pesticides or solvents and risk of Parkinson disease, Neurology, vol. 80, no. 22: 2035-2041, May 28,2013 )

A group of educators wants to determine the effectiveness of multimedia tools in raising students' grades. So they gave the students an option to choose a class with audio-visual tools or one without any. Then they conducted a test to check how well the students retain their lessons and compared the results of both the groups. Let's assume the group that chose the audio-visual class received higher grades. Does that show that the audio-visual teaching aids work better? If not, explain why not and suggest a confounding variable.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.