Brigham Young University, Idaho
MATH 221B
Use the following information to answer the next 9 questions. A study was conducted to determine the proportion of American teenagers between 13 and 17 who smoke. Previous surveys showed that 15% percent of all teenagers smoke. A Gallup survey interviewed a nationally representative sample�
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Use the following information to answer the next 9 questions. A study was conducted to determine the proportion of American teenagers between 13 and 17 who smoke. Previous surveys showed that 15% percent of all teenagers smoke. A Gallup survey interviewed a nationally representative sample of 785 teenagers aged 13 to 17. Seventyone teenagers in the survey acknowledged having smoked at least once in the past week. Does the study provide adequate evidence to conclude that the percentage of teenagers who smoke is now different than 15%? Be sure to answer all the questions whether or not the requirements are actually met. Question 1 1 / 1 pts Are the requirements for both a confidence interval and a hypothesis test met? Yes. np≥10 and n(1−p)≥10, np^≥10, and n(1−p^)≥10 so the requirements are met. Yes. There is a large sample n>30 so the requirements must be met. No. The requirements for a confidence interval can only be met if the sample data are normally distributed. No. p^<10 so the requirements for a hypothesis test are not met. Determine the appropriate 95% confidence interval for the true proportion of teenage smokers. Input your answers for the margin of error, lower bound and upper bound. Question 2 1 / 1 pts Determine Margin of Error for this 95% confidence interval (round to three decimal places). 0.0200
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