A recent drug survey showed an increase in the use of drugs and alcohol among lo

Question

A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 69 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them. Conduct a hypothesis test at the 5% level NOTE: If you are uslng a Student's t-distrlbutlon for the problem, Including for palred data, you may assume that the underlying population Is normally distributed. (In general, you must flrst prove that assumption, though.) a Part (a) State the null hypothesls. Ho: Paral Pratiansal State the alternatve hypothesis. H: Pcl Ptongl Ha: Pocal Pnebonal Part(C) In words, state what your random variable c atianal represents. hocEl naional represents the dillerence in proportions of seniors who use drugs and senicrs who use alcohol. ? ßlocal-ßnational represents the difference in the average amount of drug and alcohol abuse or local seniors and national seniors. . pkcal-pnational represents the average difference of drug and alcohol abuse of local seniors and national seniors. ocal naional represents the difTerence in proportions of drug and alcohol abuse of local seniors and national seniors. Part(d)

Explanation / Answer

a) null hypothesis: Ho: plocal <=pnational

b) alternate hypothesis: Ha: plocal >pnational

c) represent the difference in proportions of drug and alcohol abuse of local senirs and national seniors

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