×
×

# In Exercise, test the given claim.Injuries and Motorcycle

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

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:

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

Step 3 of 3

#### Related chapters

Unlock Textbook Solution