Question

A weight loss center provided a loss for 72% of its participants. The center's leader decides to test a new weight loss strategy on a random sample size of 140 and found 109 participants lost weight. Should the center continue its new strategy? Test an appropriate hypothesis using a = 0.02 and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed z- -1.54; P-value0.9382. The center should continue with the new strategy There is a 94.29% chance of having 109 or more of 140 participants in a random sample weigh less if in fact 72% do z = 1.54: P-value = 0.0618. The center should not continue with the new strategy. There is a 6.18% chance of having 109 or more of 140 participants in a random sample weigh less if in fact 72% do. The P-value of 0.0618 is greater than the alpha level of O.02. z-1.54: P-value-0.1236. The change is statistically significant. A 95% confidence interval is (70.4%, 85.3%). This is clearly lower than 72%. The chance of observing 109 or more participants of 140 is only 11.42% if the weight loss is really 72%. z-_1.54; P-value-0.0618. The change is statistically significant. A 90% confidence interval is (71.6%, 84.1%). This is clearly higher than 72%. The chance of observing 109 or more participants of 140 is only 5.71% if the weight loss is really 72% z-1.54; P-value-09382. The change is statistically significant. A 98% confidence interval is (69.0%, 86.7%). This is clearly higher than 72%. The chance of observing 109 or more participants of 140 is only 94.29% if the weight loss is really 72%.

Answer 1