Every Household, Income and Labour Dynamics in Australia Survey (HILDAS), includes the question, “Does your age limit you now from doing vigorous activities, such as running, lifting heavy objects, participating in strenuous sports?”

The table uses the 2021 survey results cross-tabulating limitation on activities with age groups, measured as response to the question.

a. Identify the response variable and the explanatory variable.

b. Find the conditional proportions of limitations for each age group. Interpret and summarize the association between these variables by comparing some of the conditional proportions across age groups.
(The Explore Categorical Data app, under the Two Categorical Variables tab, has this data set preloaded. The app provides side-by-side bar graphs and a table of conditional and marginal proportions.)

c. Overall, what proportion of people reported being significantly limited from participating in activities?

Transcribed Image Text:

Limitation on Activity Age Significantly Somewhat Not Group Limited Limited Limited Total 30-40 181 139 496 816 40-50 196 175 285 656 50-60 334 264 139 737 Total 711 578 920 2,209