Olivia sees that in her data there is a relationship between regular exercise and a range of health outcomes, with those doing exercise having better outcomes. Olivia can claim which of the following statements A. there is evidence of a correlation between regular exercise and health outcomes in her group of UTS academics B. there is evidence of a causal relationship between regular exercise and health outcomes in the population of UTS academics C. there is evidence of a causal relationship between regular exercise and health outcomes in her group of UTS academics D. there is evidence of a correlation between regular exercise and health outcomes in the population of UTS academics
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Lifestyles: Exercise Is there a link between exercise and level of education? Independent random samples of adults from group A (college graduates) and group B (no high school diploma) gave the following information about percentage who exercise regularly (Reference: Center for Disease Control and Prevention). $$ \begin{array}{l|llllllllllll} \hline \mathrm{A}(\%) & 63.3 & 55.1 & 50.0 & 47.1 & 58.2 & 60.0 & 44.3 & 49.1 & 68.7 & 57.3 & 59.9 & \\ \hline \mathrm{B}(\%) & 33.7 & 40.1 & 53.3 & 36.9 & 29.1 & 59.6 & 35.7 & 44.2 & 38.2 & 46.6 & 45.2 & 60.2 \\ \hline \end{array} $$ Use a $1 \%$ level of significance to test the claim that there is no difference in the exercise rate distributions according to education level.
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The Rank-Sum Test
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In a study of 30 high school students, researchers found a high correlation, 0.93, between amount of exercise and weight lost. Which of the following statements is TRUE? A. The researchers proved that exercise causes weight loss. B. 93% of the high school students studied lost weight. C. The researchers proved that exercise causes weight loss, but only for high school students. D. There is a strong positive linear association between weight loss and exercise, but the researchers have not proven causation.
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