A Weight Loss Centre Provided a Loss for 72% of Its

question 23

Multiple Choice

A weight loss centre provided a loss for 72% of its participants.The centre's leader decides to test a new weight loss strategy on a random sample size of 140 and found weight loss in 78% of the participants.Test an appropriate hypothesis and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.

• A) \(\mathrm { H } _ { 0 }\) : p = 0.72; \(\mathrm { H } _ { \mathrm { A } }\) : p ? 0.72; z = 1.58; P-value = 0.1236.This data shows weak evidence of a weight loss in more than 72% of the participants in the weight loss strategy; the manager should not continue with this strategy.
• B) \(\mathrm { H } _ { 0 }\) : p = 0.72; \(\mathrm { H } _ { \mathrm { A } }\) : p > 0.72; z = 1.58; P-value = 0.0571.This data shows moderate evidence of a weight loss in more than 72% of the participants in the weight loss strategy; it is hard to say whether or not they should use this strategy,perhaps further testing is in order.
• C) \(\mathrm { H } _ { 0 }\) : p = 0.72; \(\mathrm { H } _ { \mathrm { A } }\) : p > 0.72; z = -1.58; P-value = 0.0618.This data shows weak evidence of a weight loss in more than 72% of the participants in the weight loss strategy; the manager should change strategies.
• D) \(\mathrm { H } _ { 0 }\) : p = 0.72; \(\mathrm { H } _ { \mathrm { A } }\) : p < 0.72; z = -1.58; P-value = 0.9382.This data shows conclusive evidence of a weight loss in more than 72% of the participants in the weight loss strategy; the manager should continue with this strategy.
• E) \(\mathrm { H } _ { 0 }\) : p = 0.72; \(\mathrm { H } _ { \mathrm { A } }\) : p < 0.72; z = 1.58; P-value = 0.9382.This data shows conclusive evidence of a weight loss in more than 72% of the participants in the weight loss strategy; the manager should continue with this strategy.

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Definitions:

Early Selection

A theory in attention that suggests stimuli are filtered or selected to be attended to at an early stage of processing, based on physical characteristics.

Sensory Memory

The shortest-term element of memory, which stores sensory impressions for a very brief period, allowing us to experience the world as a continuous stream.

Task Simplicity

Refers to the degree to which a task or activity is straightforward and uncomplicated, requiring a minimal cognitive load or effort to complete.

Tip-of-the-Tongue Phenomenon

A common cognitive experience where a person is unable to fully recall a familiar word or name, despite feeling that retrieval is imminent.