In: Statistics and Probability
1A) Results on seat belt usage from the 2003 Youth Risk Behavior Survey were published in a USA Snapshot on January 13, 2005. The following table outlines the results from the high school students who were surveyed in the state of Nebraska. They were asked whether or not they rarely or never wear seat belts when riding in someone else's car. Using α = .05, does this sample present sufficient evidence to reject the hypothesis that gender is independent of seat belt usage?
Female | Male | |
Rarely or never use seat belt | 218 | 325 |
Uses seat belt | 1248 | 1186 |
(a) Find the test statistic. (Give your answer correct
to two decimal places.)
(b) Find the p-value. (Give your answer bounds
exactly.)
< p <
1B) The following table is from the publication of Vital and Health Statistics from the Centers for Disease Control and Prevention/National Center for Health Statistics. The individuals in the following table have an eye irritation, a nose irritation, or a throat irritation. They have only one of the three. Is there sufficient evidence to reject the hypothesis that the type of ear, nose, or throat irritation is independent of the age group at a level of significance equal to .05?
Age (years) | ||||
Type of Irritation | 18-29 | 30-44 | 45-64 | 65 and Older |
Eye | 458 | 564 | 367 | 67 |
Nose | 910 | 1312 | 792 | 100 |
Throat | 247 | 330 | 180 | 18 |
(a) Find the test statistic. (Give your answer correct
to two decimal places.)
(b) Find the p-value. (Give your answer bounds
exactly.)
< p <