Suppose that 16% of teenagers who play video gmes would enjoy playing a new super mario game the manufacturer doesnt know this actual proportion and plans on sampling a random sample of 80 teenage game players ap stats a. Calculate the standard deviation of the sampling distribution of p. b. Are the conditions for inference met?Explain c. If a different sample size would result in the standard deviation of the sample distripution of p= 0.037, is the sample size smaller or larger than 80?Explain

Lunches in us high schools are lacking adequate nutritional value. the menus have become increasingly varied over the past two decades, and they are varied to a fault. now high school students can choose between healthy main dishes and "junk food" items offered à la carte on the school menu. milkshakes and fries are often the lunch of choice for america’s youth. fourteen-year-old alira sanson from grand rapids, michigan, admits, "i love my high school's menu. it is much better than middle school food. i eat a giant chocolate chip cookie and a bag of chips for lunch every day—because i can." the middle school menu alira refers to is the government-regulated hot lunch mandated in elementary and middle schools across the nation. lunches at the high school level are often under site-based management, and food service officials are under pressure to provide food that sells. this pressure renders unhealthy choices, and the resulting menus are detrimental to students. what is the topic of this passage? a. high school food is better than middle school food. b. high school students can choose their lunches, but middle school students cannot. c. a comparison of hot lunches in the united states d. the nutritional value of high school lunches

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Researchers pose the question: can shoe size be predicted from a woman's height? a random sample of 18 females and their shoe size versus height (in inches) gives the regression results shown in the table. predictor coeff se coeff t ratio p-value constant -45.74 32.58 -2.57 0.147 height 0.5943 0.2984 1.99 0.042 s = 3.2178 r-sq. = 18.9% r-sq. (adj) = 12.4% is there statistical evidence of a linear relationship between shoe size and height? no, because r2, the coefficient of determination, is too small no, because 0.147 is above any reasonable significance level yes, there is evidence at the 5% significance level yes, because, by any reasonable observation, taller women tend to have a larger shoe size