Question

In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table (based on data from Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students, by OMalley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6).

Use a 0.05 significance level to test, by hand, the claim of independence between texting while driving and irregular seat belt use:

1. (a) State the null and alternative hypotheses, indicate the significance level and the type of test (left-, right-, or two-tailed test).

2. (b) Calculate by hand the test statistic

3. (c) Use the χ2 table to identify the critical value

4. (d) Use the test statistic and critical value to explain whether or not the null hypothesis is rejected.

5. (e) Make a concluding statement.

6. (f) Are those two risky behaviors independent of each other?

Answer 1