Chapter 12, Problem 14PS

How common are financial cost or contractual constraints associated with smartphone ownership? A survey of smartphone owners found her that $48\%$ of the 18- to 29-year-olds, $38\%$ of the 30-to 49-year olds, $25\%$ of the 50-to 64-year-olds, and $19\%$ of those age 65 or older have reached the maximum amount of data they are allowed to use as part of their plan, at least on occasion.

Suppose the survey was based on 200 smartphone owners in each of the four age groups: 18 to 29, 30 to 49, 50 to 64, and 65 +.

a. At the 0.05 level of significance, is there evidence of a difference among the age groups the age groups in the proportion of smartphone owners who have reached the maximum amount of data they are allowed to use as part of their plan, at least on occasion?

b. Determine the p-value in (a) and interpret its meaning.

c. If appropriate, use the Marascuilo procedure and $\alpha =0.05$ to determine which age groups differ.