Work with a partner when a sample is selected at

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Work with a partner. When a sample is selected at random, each member of the population is equally likely to be selected. You want to know the favorite extracurricular activity of students at your school. Determine whether each method will result in a random sample. Explain your reasoning. a. You ask members of the school band. b. You publish a survey in the school newspaper. c. You ask every eighth student who enters the school in the morning. d. You ask students in your class. ACTIVITY: Identifying Random Samples 2 A population is an entire group of people or objects. A sample is a part of the population. You can use a sample to make an inference , or conclusion, about a population. Work with a partner. Identify the population and the sample. a. The students in a school The students in a math class b. The grizzly bears with GPS collars in a park c. d. All books in a library 10 fiction books in a library ACTIVITY: Identifying Populations and Samples 1 All quarters in circulation The grizzly bears in a park 150 quarters Identify a population. Select a sample. Interpret the data in the sample. Make an inference about the population. Sample Interpretation Population Inference Probability and Statistics In this lesson, you will determine when samples are representative of populations. use data from random samples to make predictions about populations.
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Section 10.6 Samples and Populations 441 Work with a partner. A new power plant is being built outside a town. In each situation below, residents of the town are asked how they feel about the new power plant. Determine whether each conclusion is valid. Explain your reasoning. a. A local radio show takes calls from 500 residents. The table shows the results. The radio station concludes that most of the residents of the town oppose the new power plant. For 50% Against 50% New Power Plant b. A news reporter randomly surveys 2 residents outside a supermarket. The graph shows the results. The reporter concludes that the residents of the town are evenly divided on the new power plant. c. You randomly survey 250 residents at a shopping mall. The table shows the results. You conclude that there are about twice as many residents of the town against the new power plant than for the new power plant. There are many different ways to select a sample from a population. To make valid inferences about a population, you must choose a random sample very carefully so that it accurately represents the population. ACTIVITY: Identifying Representative Samples 3 4. IN YOUR OWN WORDS How can you determine whether a sample accurately represents a population? 5. RESEARCH Choose a topic that you would like to ask people’s opinions about, and then write a survey question. How would you choose people to survey so that your sample is random? How many people would you survey? Conduct your survey and display your results. Would you change any part of your survey to make it more accurate? Explain.
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