The Gallup-Healthways Well- Being Index tracks daily how Americans evaluate their lives, both now and in five years, on the Cantril Self-Anchoring Striving Scale, where “0” represents the worst possible life and “10” represents the best possible life. Respondents are classified by Gallup as “thriving” if they rate their current life a 7 or higher and their future life an 8 or higher. Daily results are based on a three-day rolling average, based on telephone interviews with approximately 1000 national adults. As of March 1, 2012, Gallup reported that 530 of 1000 adults were thriving. Do these responses provide strong evidence that more than half of adults are thriving? Correct the mistakes you find in the following student’s attempt to test an appropriate hypothesis.
Since the 90% confidence interval is 0.530 +/-1.645 (0.016) or (0.504, 0.556), we can be confident that the true percentage of those thriving is above 50%.
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