Question: In June 2009, the Gallup-Healthways Well-Being Index (well-beingindex.com) reported that 49% of Americans exercise for 30 minutes or more on 2 or fewer days per week, 24% exercise for 30 minutes or more on 3 or 4 days per week, and 27% exercise for 30 minutes or more on 5 or more days per week. Assume that the Gallup-Healthways results were true for the June 2009 population of Americans. Suppose a recent random sample of 458 Americans produced the following results.
Exercise frequency 2 or fewer days a week 3 or 4 days a week 5 or more days a week
Number of people 197 121 140
Test at the 10% significance level whether the current distribution of exercise frequency differs from that of June 2009.