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Mathematical Practices Then/Now New Vocabulary Key Concept: Study Types Example 1: Classify Study Types Example 2: Choose a Study Type Example 3: Real World Example: Make an Inference About a Population Example 4: Identify Bias. Lesson Menu. Mathematical Practices

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  1. Mathematical Practices Then/Now New Vocabulary Key Concept: Study Types Example 1: Classify Study Types Example 2: Choose a Study Type Example 3: Real World Example: Make an Inference About a Population Example 4: Identify Bias Lesson Menu

  2. Mathematical Practices 1 Make sense of problems and persevere in solving them. 4 Model with mathematics. Content Standards S.IC.1 Understand statistics as a process for making inferences about population parameters based on a random sample from that population. S.IC.3 Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. MP

  3. You summarized data using measures of center and measures of variation. • Distinguish among sample surveys, experiments, and observational studies. • Make inferences about population parameters based on random samples of the population. Then/Now

  4. statistics • parameter • statistic • bias • random sample • survey • experiment • observational study Vocabulary

  5. Concept

  6. Classify Study Types A. Determine whether the situation describes a survey, an experiment, or an observational study. Then identify the sample, and suggest a population from which it may have been selected. MOVIESA retro movie theater wants to determine what genre of movies to play during the next year. They plan to poll 50 random area residents and ask them what their favorite movies are. Answer:This is a survey, because the data are collected from participants' responses to the poll. The sample is the 50 people area residents that are polled, and the population is all area residents. Example 1A

  7. Classify Study Types B. Determine whether the situation describes a survey, an experiment, or an observational study. Then identify the sample, and suggest a population from which it may have been selected. DRIVINGA driving school wants to determine the main issue drivers face while taking the driving test. They watch and record 30 random people taking the test. Answer:This is an observational study, because the school is going to observe the drivers without their being affected by the study. The sample is the 30 drivers selected, and the population is all drivers that may take the test. Example 1B

  8. A restaurant manager provides a new entrée to 30 randomly selected tasters and observes their reactions. Determine whether the situation describes a survey, an experiment, or an observational study. A. survey B. experiment C. observational study Example 1

  9. Choose a Study Type A. Determine whether the situation calls for a survey, an experiment, or an observational study. Explain your reasoning. VIDEO GAMESA gaming company plans to test whether a new controller is preferable to the old one. A group of teens will be observed while using the controllers, to see which one they use the most. Answer:The teens will be observed without being affected by the study, so this is an observational study. Example 2A

  10. Choose a Study Type B. Determine whether the situation calls for a survey, an experiment, or an observational study. Explain your reasoning. RESTAURANTSA restaurant wants to conduct an online study in which they will ask customers whether they were satisfied with their dining experience. Answer:This situation calls for a survey because members of the sample population are asked for their opinion. Example 2B

  11. A research firm wants to test the affects of a new health drink. Determine whether the situation calls for a survey, an experiment, or an observational study. Explain your reasoning. A. survey B. observational study C. experiment Example 2

  12. Make an Inference About a Population MUSIC A random sample of the 922 people at a concert were surveyed and asked to name the type of music they listen to most often at home. Based on the results of the bar graph, what is the most reasonable inference about the number of people at the concert who would say that jazz is the type of music they listen to most often at home? Example 3

  13. Make an Inference About a Population Step 1: Determine the number of people surveyed at the jazz concert. 922 So, there were 922 people in the random sample. Step 2: Calculate the sample proportion. The sample proportion is approximately 0.1053 Example 3

  14. Make an Inference About a Population Step 3: Use the sample proportion to make an inference about the population. 0.1053 • 922 ≈ 97.09 It is reasonable to infer that approximately 97 people who attended the concert listen to jazz most often at home. Answer:97 Example 3

  15. Determine whether the survey question is biased or unbiased. If biased, explain your reasoning.Are you planning on watching the ultimate sporting event, the Super Bowl? A. unbiased B.Biased; the question is confusing. C.Biased; the question addresses more than one issue. D.Biased; the question encourages a certain response. Example 3

  16. Example 4 Identify Bias UNIFORMS A university wants to redesign the mascot it uses for each sports team. An administrator surveys a random sample of the football team to see whether the school’s athletes want the same mascot with a new design, or a different mascot entirely, and finds that 10 of the 20 respondents want the same mascot. From this, the administrator determines that approximately 1532 of the university’s 3064 athletes want the same mascot. Identify and explain any bias that might affect the validity of Jamar’s inference.

  17. Example 4 Identify Bias Answer: Because the football team is a specific group of athletes, they do not reflect the university’s entire athlete population. Thus, the administrator’s inference might be affected by the bias in his survey.

  18. Determine whether the survey question is biased or unbiased. If biased, explain your reasoning.Are you planning on watching the ultimate sporting event, the Super Bowl? A. unbiased B.Biased; the question is confusing. C.Biased; the question addresses more than one issue. D.Biased; the question encourages a certain response. Example 4

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