Statistics and Sampling Concepts
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Questions and Answers

What can be concluded from the AOL opinion poll where 68% said they plan to diet?

  • The poll uses a voluntary response (correct)
  • The poll results are representative of all adults
  • More than 30,000 adults responded (correct)
  • Most adults do not plan to diet
  • What kind of sample is used when archaeologists choose separate random samples from different locations?

    Stratified random sample

    What are the labels of the students selected in the SRS of 5 students from a class of 30?

    14, 03, 10, 22, 06

    What is the goal when taking a census?

    <p>Every individual in the population</p> Signup and view all the answers

    What is an example of a non-sampling error that can affect a sample survey?

    <p>Inability to contact many members of the sample</p> Signup and view all the answers

    What does it mean when only 39% of respondents answered 'yes' to the health insurance survey?

    <p>Probably understates the percent of people who favor a system of national health insurance</p> Signup and view all the answers

    What type of error is indicated when a subject lies about past drug use?

    <p>Non-sampling error (NSE)</p> Signup and view all the answers

    What type of error occurs when there is a typing error in recording data?

    <p>Non-sampling error (NSE)</p> Signup and view all the answers

    What kind of sampling error is introduced by gathering data via mailed-in coupons from a newspaper?

    <p>Sampling error (SE)</p> Signup and view all the answers

    Study Notes

    Opinion Polls

    • AOL utilizes voluntary response polls next to news articles, influencing participation rates.
    • A poll on dieting intentions had over 30,000 responses with 68% indicating "Yes."
    • Results are limited in reliability for the broader adult population due to voluntary response bias.

    Sampling Methods

    • Archaeological research involves examining 2 square meter plots near an ancient Greek city.
    • Random samples are taken from different environments (floodplain, coast, foothills, high hills).
    • This approach exemplifies a stratified random sample, ensuring representation from diverse areas.

    Simple Random Samples (SRS)

    • In a class of 30 students, a Simple Random Sample (SRS) of 5 is selected using digit randomization.
    • Students are labeled from 01 to 30, and selected students were those identified by the random digits of 14, 03, 10, 22, 06.

    Census

    • A census aims to gather data from every individual within a designated population, ensuring completeness.

    Non-Sampling Errors (NSE)

    • Non-sampling errors can harm survey accuracy, such as difficulties in contacting sample members.
    • Misreporting of past drug use is classified as a non-sampling error (NSE) because it involves deceit rather than sampling flaws.
    • Typing mistakes in data recording are also categorized as non-sampling errors (NSE), impacting data accuracy through human error.

    Sampling Error (SE)

    • A survey of 1200 Americans revealed that only 39% favored a national health insurance system.
    • Results likely underestimate true support for national health insurance, indicating potential sampling bias.
    • Data collection through mailed-in coupons can lead to sampling error (SE), where non-representative responses may skew results.

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    Description

    This quiz focuses on basic principles of statistics and sampling methods through practical examples. Assess your understanding of how voluntary response polls and samples function in gathering data. Perfect for students looking to reinforce statistical concepts.

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