In: Math
It has been postulated that a student is more likely to smoke marijuana if both parents use alcohol and drugs. A paper published in Youth and Society (1979) reported that among 570 students whose parents use alcohol and drugs, 320 regularly smoke marijuana.
a. Is there any evidence that a student is more likely to smoke marijuana if both parents use alcohol and drugs?
b. Joann is planning for a new study on this problem. Suppose no prior information is available, what is the minimum sample size required such that the length of the 92.32% confidence interval for the true proportion of students smoke marijuana if both parents use alcohol and drugs is at most 0.075?
(a)
If student is more likely to smoke marijuana if both parents use alcohol and drugs then the true proportion of student who smoke marijuana if both parents use alcohol and drugs should be greater than 0.50.
Conclusion: There is evidence that a student is more likely to smoke marijuana if both parents use alcohol and drugs.
(b)