Question

in a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table. use a 0.05 significance level to test the claim of independence between texting while driving and driving when drinking alcohol. are those two risky behaviors independent of each other? click the icon to view the table of survey results. determine the null and alternative hypotheses. ho: h₁: texting while driving and driving while drinking alcohol are dependent. texting while driving and other risky behaviors are dependent. texting while driving is independent of driving while drinking alcohol. texting while driving is independent of all other risky behaviors.

Explanation:

To determine the null and alternative hypotheses for testing independence between two variables (texting while driving and driving when drinking alcohol), the null hypothesis ($H_0$) typically states the variables are independent, and the alternative hypothesis ($H_1$) states they are dependent. For the alternative hypothesis ($H_1$), we need the statement that the two behaviors are dependent. Among the options, "Texting while driving and driving while drinking alcohol are dependent" is the correct alternative hypothesis as it directly addresses the dependence of the two specific behaviors in question.

Answer:

$H_1$: Texting while driving and driving while drinking alcohol are dependent.