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A study found that 15% of teenagers get the recommended 8 to 10 hours of sleep each school night. A guidance counselor at a large high school takes a random sample of 80 students and asks them if they get 8 to 10 hours of sleep each night of the school week. Of the 80 students, 15 state they get 8 to 10 hours of sleep each school night. The P-value for the test of the hypotheses, H0:p=0.15 and Ha:p≠0.15, is 0.35.
What is the correct interpretation of this value?
If 15% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone.
Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the sample proportion would be 0.19 by chance alone.
If 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, then 35% of the teenagers in this sample got the recommended amount of sleep by chance alone.
Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the true proportion of teenagers getting the recommended sleep is 0.15 by chance alone.
Sagot :
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