According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at some point in their lives. A school official hopes to show the percentage is lower in his district, testing H0: p=0.173 versus Ha: p>0.173.
The health department for the district uses anonymous random sampling and finds that 10% of 80 eighth graders surveyed had used marijuana.
Is the sample size condition for conducting a hypothesis test for a population proportion satisfied?
Both "np" and "n(1-p)" are greater than 10 meaning the distribution of sample proportions can be modelled by the normal distribution. Hence the sample size is sufficient for the hypothesis using normal Z tables.
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