Question

in a random sample of u.s. adults surveyed in december 2011, pew research asked how important it is \to you personally\ to be successful in a high-paying career or profession. the responses are shown in the accompanying table and mosaic plot. complete parts a through e. click the icon to view the table of responses and mosaic plot. a) are the differences in sample sizes in the four groups very large? explain briefly. a. no, because the bars are all close to the same width. b. yes, because the bar widths show significant differences. c. yes, because the distribution of the rectangles is not the same in all the columns. d. the samples sizes cannot be compared from a mosaic plot.

Explanation:

In a mosaic plot, bar width represents sample size. If bars are close in width, sample sizes are similar. Option A says bars are close in width (so no large differences), which matches how mosaic plots show sample size via width. Other options are incorrect: B says widths differ (wrong), C refers to rectangle distribution (not sample size), D is wrong as mosaic plots can compare sample sizes via width.

Answer:

A. No, because the bars are all close to the same width.