Math Problem Statement
Sleep Awareness Week begins in the spring with the release of the National Sleep Foundauon's annual poll of U.S. sleep habits and ends with the beginning of daylight saving time, when most pe sle lose an hour of sleep. In the foundation's random imple of 1029 U.S. adults, 48% reported that the "often or always" got enough sleep during *he previous 7 nights. To determine if these data provide convincing evidence that few than half of all U.S. adults would say they often or always get enough sleep, 100 simulated SRSs of size n = 1029 were selected. Each dot in the graph shows the percentage of adults who said they often or always get enough sleep in a simulated SRS, assuming that each adult has a 50% chance of saying they often or always get enough sleep.
In the simulation, what percentage of the samples resulted in 48% or fewer of the adults saying they often or always go enough sleep? Provide your answer as a percent with precision as a whole number
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Simulations
Sampling
Probability
Formulas
(Number of samples ≤ 48%) / (Total simulations) × 100
Theorems
Central Limit Theorem
Law of Large Numbers
Suitable Grade Level
Grades 11-12, College Level
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