The following is me summarazing a video on statistics:  The video has three separate focuses: the percentage of high-schoolers who report they use sunscreen, the risk of obesity among children who do not "get enough sleep," and the risk of heart attack for men over 50 who have close community ties. The video shows a man walking a dog, but does not discuss the percentage of men who walk a dog on a daily basis.  A population mean (?) is an average of a numerical value, such as the average number of kids per family, the average weight or height of a woman, or the average number of hours of sleep a teenager gets per night. All of the statistics presented in the video were percentages—that is, estimates of a population proportion, or p, expressed as a percentage. A "risk" is another word for a probability which is estimated using a proportion. That is, if your risk of having a heart attack is 1 in 5 (or 0.2), that is usually estimated by collecting a sample of people from a particular population and counting how many people in that sample had a heart attack and dividing by the number of people in the sample. That estimated population proportion is also used as an estimate of the probability (i.e., "risk") someone from that population will have a heart attack in the future. In other words, the words "proportion," "probability," "percentage," and "risk" are all essentially referring to different flavors of estimates of the same parameter, p. While the description of the reduction in risk is fairly typical in this video, it is really hard to interpret. Usually, a reduction in risk is expressed as a percentage change. That is, if they report the risk was reduced by 22%, that means that if the risk in one group was, say, 0.10, the risk in the other groups is  0.10 − 0.22 · 0.10,  or 0.08. This is typical because often the risk is low in the first place, so saying the risk is reduced by 22% sounds like a much larger reduction than saying the risk was reduced from 10% to 8% (an absolute reduction of 2%). In general, these numbers are very hard to express and even harder to interpret.     discussion: how to respond and figure out a scenario and response to the prompt below:   The video states that 56% of high school students reported using sunscreen in 2011, while 68% reported using sunscreen in 2001, leading the researchers to conclude that sunscreen use is declining among this population. Describe a scenario in which this conclusion could be wrong. (HINT: These percentages are estimates based on samples from this population. While you should assume that they calculated the estimates correctly, consider what other characteristics of these samples could lead to this conclusion being wrong.)

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The following is me summarazing a video on statistics:
 The video has three separate focuses: the percentage of high-schoolers who report they use sunscreen, the risk of obesity among children who do not "get enough sleep," and the risk of heart attack for men over 50 who have close community ties. The video shows a man walking a dog, but does not discuss the percentage of men who walk a dog on a daily basis.
 A population mean (?) is an average of a numerical value, such as the average number of kids per family, the average weight or height of a woman, or the average number of hours of sleep a teenager gets per night. All of the statistics presented in the video were percentages—that is, estimates of a population proportion, or p, expressed as a percentage. A "risk" is another word for a probability which is estimated using a proportion. That is, if your risk of having a heart attack is 1 in 5 (or 0.2), that is usually estimated by collecting a sample of people from a particular population and counting how many people in that sample had a heart attack and dividing by the number of people in the sample. That estimated population proportion is also used as an estimate of the probability (i.e., "risk") someone from that population will have a heart attack in the future. In other words, the words "proportion," "probability," "percentage," and "risk" are all essentially referring to different flavors of estimates of the same parameter, p.
While the description of the reduction in risk is fairly typical in this video, it is really hard to interpret. Usually, a reduction in risk is expressed as a percentage change. That is, if they report the risk was reduced by 22%, that means that if the risk in one group was, say, 0.10, the risk in the other groups is 
0.10 − 0.22 · 0.10,
 or 0.08. This is typical because often the risk is low in the first place, so saying the risk is reduced by 22% sounds like a much larger reduction than saying the risk was reduced from 10% to 8% (an absolute reduction of 2%). In general, these numbers are very hard to express and even harder to interpret.
 
 
discussion: how to respond and figure out a scenario and response to the prompt below:
 
The video states that 56% of high school students reported using sunscreen in 2011, while 68% reported using sunscreen in 2001, leading the researchers to conclude that sunscreen use is declining among this population. Describe a scenario in which this conclusion could be wrong.
(HINT: These percentages are estimates based on samples from this population. While you should assume that they calculated the estimates correctly, consider what other characteristics of these samples could lead to this conclusion being wrong.)
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