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A U.S. government survey in 2007 said that the proportion of young Americans that earn a high school diploma is 0.87. a)Suppose you took a simple random sample of 100 young Americans. We know because of sampling variability that the sample proportion of those who earned a high school diploma would vary each time you took a sample. Assuming the value above can be taken as the population proportion (i.e. as a parameter), what model can be used to describe how these sample proportions would vary

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batolisis

Answer:

normal distribution can be used to model the sample proportions

Step-by-step explanation:

N ( sample size ) = 100

probability of earning high school diploma (p)  = 0.87

probability of not earning high school diploma ( q ) = 0.13

hence ;

∈( P ) = p = 0.87

Var ( p ) = [tex]\frac{pq}{n}[/tex]  = [tex]\frac{0.86 * 0.13 }{100}[/tex]  = 0.001131

therefore ; p ~ N = ( 0.87 , 0.001131 )

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