Is Your Nose Getting Bigger?Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach adulthood, studies show that noses and ears continue to grow larger throughout our lifetime. In one study1 examining noses, researchers report "Age significantly influenced all analyzed measurements:" including volume, surface area, height, and width of noses. In a test to see whether males, on average, have bigger noses than females, the study indicates that "p<0.01."Let group 1 be males and group 2 be females.(a) State the hypotheses. Your answer should be an expression composed of symbols H0:_ vs Ha:_ (c) Interpret the conclusion in context. -We have evidence that males have bigger noses than females, on average. -We do not have evidence that males have bigger noses than females, on average. -We have evidence that males and females have the same size noses, on average. -We do not have evidence that males and females have the same size noses, on average.
Is Your Nose Getting Bigger?
Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach adulthood, studies show that noses and ears continue to grow larger throughout our lifetime. In one study1 examining noses, researchers report "Age significantly influenced all analyzed measurements:" including volume, surface area, height, and width of noses. In a test to see whether males, on average, have bigger noses than females, the study indicates that "p<0.01."
Let group 1 be males and group 2 be females.
(a) State the hypotheses. Your answer should be an expression composed of symbols
H0:_ vs Ha:_
(c) Interpret the conclusion in context.
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Social Media Use and ADHD. Exercise 2.23 introduces a study examining whether frequent use of digital social media by teens is associated with subsequent development of ADHD symptoms. Researchers rated the frequency of social media use as High or Low for each teen. Two years later, they recorded whether or not ADHD symptoms had been diagnosed. The results are shown in the table below. Use StatKey or other technology to test whether the proportion of teens being diagnosed with ADHD is higher for teens with a high frequency of social media use than for those with a low frequency. Show all details of the test. Let Group 1 represent the teens with high social media use and Group 2 represent those with low social media use.
State the null and alternative hypotheses.
Give notation of the sample statistic.
Give value of the sample statistic accurate to three decimal places.
Use a randomization distribution to find the p-value. Give your answer accurate to three decimal places.
| Social Media Use | ADHD | No ADHD | Total |
| High frequency | 16 | 149 | 165 |
| Low frequency | 23 | 472 | 495 |
| Total | 39 | 621 | 660 |
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