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5. [-/16 Points] DETAILS ILLOWSKYINTROSTAT1 10.HW.099. MY NOTES 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, 65 seniors reported using drugs or alcohol within the past month, while 62 national seniors reported using them. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) + Part (a) + Part (b) + Part (c) + Part (d) + Part (e) + Part (f) + Part (g) + Part (h) Part (i) Explain how you determined which distribution to use. The t-distribution will be used because the samples are dependent. The t-distribution will be used because the samples are independent and the population standard deviation is not known. The standard normal distribution will be used because the samples are independent and the population standard deviation is known. The standard normal distribution will be used because the samples involve the difference in proportions