In March 2012, the Gallup-Healthways Well-Being Index (www.gallup.com/poll/153251/ No-Major-Change-Americans-Exercise-Habits-2011.aspx) reported on exercise habits of Americans. Specifically, they reported that during 2011, 51.6% of Americans exercised for 30 minutes or more on 3 or more days per week (A), 18.8% exercised for 30 minutes or more on 1 or 2 days per week (B), and 29.7% did not exercise for 30 minutes or more on at least 1 day per week (C). Assume that the Gallup- Health ways results were true for all Americans in 2011. Suppose a recent random sample of 520 Americans produced the frequencies given in the following table.

Test at a 5% significance level whether the current distribution of exercise frequency differs from that of 2011.

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Exercise category Number of people14 131 248