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You want to estimate the proportion of kids between the ages of 12 and 15 who have tried marijuana. You take a random sample
You want to estimate the proportion of kids between the ages of 12 and 15 who have tried marijuana. You take a random sample of 130 Maryland students and find that 21% of the sample report having tried marijuana. Last year, the federal government ran a much larger survey of 10,000 students and found that 27% reported ever using marijuana. Test the null hypothesis that the true population proportion of Maryland students who have smoked marijuana is 27% versus the alternative hypothesis that it is different than that. Use a 3% significance level. Interpret your result. Without calculations - if you were to create a 97% confidence interval around your sample proportion of .23, would your population proportion of .29 be contained in the interval?
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