×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide

In Exercise, test the given claim.Injuries and Motorcycle

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 16BSC Chapter 11.3

Elementary Statistics | 12th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

4 5 0 419 Reviews
17
2
Problem 16BSC

Problem  16BSC

In Exercise, test the given claim.

Injuries and Motorcycle Helmet Color A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the table below (based on data from “Motorcycle Rider Conspicuity and Crash Related Injury: Case-Control Study,” by Wells et al., BMJ USA, Vol. 4). Test the claim that injuries are independent of helmet color. Should motorcycle drivers choose helmets with a particular color? If so, which color appears best?

 

Color of Helmet

 

Black

White

Yellow/Orange

Red

Blue

Controls (not injured)

491

377

31

170

55

Cases (injured or killed)

213

112

8

70

26

Step-by-Step Solution:

Answer:

Step 1 of 2</p>

The solution to this problem takes four steps: (1) state the hypotheses, (2) formulate an analysis plan, (3) analyze sample data, and (4) interpret results. We work through those steps below:

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

H0: The claim that the amount of smoking is independent of seat belt use

H1: The claim that the amount of smoking is not independent of seat belt use

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a chi-square test for independence.

Applying the chi-square test for independence to sample data, we compute the degrees of freedom, the expected frequency counts, and the chi-square test statistic.

DF = (r - 1)  (c - 1) = (2 - 1)  (5 - 1) = 4

 

                         Color of Helmet

 

Black

White

Yellow/Orange

Red

Blue

Total

Controls (not injured)

491

377

31

170

55

1124

Cases (injured or killed)

213

112

8

70

26

429

Total

704

489

39

240

81

1553

Step 2 of 3

Chapter 11.3, Problem 16BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

In Exercise, test the given claim.Injuries and Motorcycle

×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide
×
Reset your password