Question: The Gallup-Health ways Well-Being Index (https://www.well-beingindex.com) provides an assessment measure of health and well-being of U.S. residents. By collecting periodic data on life evaluation, physical health, emotional health, healthy behavior, work environment, and basic access, this assessment measure is of immense value to researchers in diverse fields such as business, medical sciences, and journalism. The overall composite score, as well as a score in each of the above six categories, is calculated on a scale from 0 to 100, where 100 represents fully realized well-being. In 2009, the overall well-being index score of American residents was reported as 65.9. Let the following table represent the overall well-being score of a random sample of 35 residents in Hawaii. (The data can be accessed from the text website and are labeled Hawaiians.)
In a report, use the sample information to:
1. Determine whether the well-being score of Hawaiians is more than the national average of 65.9 at the 5% significance level.
2. Determine if fewer than 40% of Hawaiians report a score below 50 at the 5% significance level.