2. In a national household survey on drug abuse, 10% of 18–25 year olds reported ever using cocaine (Sourcebook 2000). You take a random sample of 10 students at your university and find that none had ever used cocaine. What is the probability of observing no cocaine users in a sample of 10 students if the true probability of cocaine use is 0.10? Using an alpha of 0.05, test the null hypothesis that the probability of cocaine use is 0.10, against the alternative hypothesis that it is less than 0.10.
The probability of 0 cocaine users in a sample of 10 if the true probability of cocaine use is 0.10 is calculated as: