Question

1&2

Page 1 Question 1 According to the National Institute on Drug Abuse, a U.S. government agency. Select one nowe 17.3% of 8th graders in 2010 had used marijuana at some point in their lives. 10 points A school official hopes to show the percentage is lower in his district, testing H 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. 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. B. 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. C. No, because 80 students is not enough to be representative of the students in the school district. D. Yes, because the sample is random. It represents the 8th graders in the district. Question 2 Select one answer Teen obesity: The 2013 National Youth Risk Behavior Survey (YRBS) reported that 13.7% of U.S. students in grades 9 through 12 who attend public 10 points and private school were obese. After seeing extensive efforts to educate parents and teens on healthy lifestyles, we want to know if the proportion has decreased this year. We select a random sample of 200 U.S. students and find that 11% are obese. After performing the hypothesis test for p = 0.137 versus p < 0.137, we obtain a P-value of 0.133. Which of the following interpretations of the P-value is correct? A. There is a 13.3% chance that 11% of U.S. students in grades 9 through 12 who attend public and private school were obese this year. B. There is a 13.3% chance that a sample of 200 U.S. students in grades through 12 who attend public and private school will have 11% or fewer obese students if 13.7% of the population is obese this year. c. There is a 13.3% chance that 11% of U.S. students in grades through 12 who attend public and private school were obese this year if 13.7% were obese in 2013. D. There is a 13.3% chance that 13.7% of U.S. students in grades 9 through 12 who attend public and private school were obese this year.

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