Question 11.64

weatherdeaths

29. Weather-Related Deaths. The Centers for Disease Control track the numbers of deaths due to weather-related causes. Is there is a difference in the pattern of deaths for young people and older people? The following table shows the number of deaths for three weather-related categories, for young people ages 15–24 and older people ages 75–84. Test, using level of significance , whether cause of death and age group are independent.

Age
group
Heat-
related
Cold-
related
Floods/
storms/
lightning
Total
15–24 106 286 97 489
75–84 490 1010 53 1553
Total 596 1296 150 2042
Table 11.56: Weather-related cause of death

11.2.29

: Cause of death and age group are independent. : Cause of death and age group are dependent.

image

From the Minitab output above, none of these expected frequencies is less than one, and none of the expected frequencies is less than five. Therefore, the conditions for performing the test for independence are met. Reject if the . . . The is less than or equal to . Therefore, we reject . Evidence exists, at level of significance , that the variables Cause of death and age group are dependent.