Question
Question 1 According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th Select one answer. graders in 2010 had
Question 1 According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th Select one answer. graders in 2010 had used marijuana at some point in their lives. A school official hopes to show 10 points the percentage is lower in his district, testing Ho: p = 0.173 versus H: 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? A. O Yes, because (80) (.173) and (80)(1 - 0.173) are both at least 10. This means we can use the normal distribution to model the distribution of sample proportions. B. O No, because (80)(.10) is less than 10. Because of this the sample size is too small to use the normal distribution to model the distribution of sample proportions. C. O Yes, because the sample is random. It represents the 8th graders in the district. D. O No, because 80 students is not enough to be representative of the students in the school district.
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