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Opinion poll

Opinion poll is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Opinion poll rather than just read about it. In short: An opinion poll, often simply referred to as a survey or a poll, is a human research survey of public opinion from a particular sample. Opinion polls are usually designed to represent the opinions of a population by conducting a series of questions and then extrapolating generalities in ratio or within confidence intervals.

Opinion poll — main illustration
Opinion poll — illustration

Key takeaways

  • Opinion poll belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Opinion poll to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Opinion poll from memory before moving on to harder problems.

Reference excerpt

An opinion poll, often simply referred to as a survey or a poll, is a human research survey of public opinion from a particular sample. Opinion polls are usually designed to represent the opinions of a population by conducting a series of questions and then extrapolating generalities in ratio or within confidence intervals. A person who conducts polls is referred to as a pollster.

History The first known example of an opinion poll was a tally of voter preferences reported by the Raleigh Star and North Carolina State Gazette and the Wilmington American Watchman and Delaware Advertiser prior to the 1824 presidential election, showing Andrew Jackson leading John Quincy Adams by 335 votes to 169 in the contest for the United States presidency. Since Jackson won the popular vote in that state and the national popular vote, such straw votes gradually became more popular, but they remained local, usually citywide phenomena. In 1916, The Literary Digest embarked on a national survey (partly as a circulation-raising exercise) and correctly predicted Woodrow Wilson's election as president. Mailing out millions of postcards and simply counting the returns, The Literary Digest also correctly predicted the victories of Warren Harding in 1920, Calvin Coolidge in 1924, Herbert Hoover in 1928, and Franklin Roosevelt in 1932. Then, in 1936, its survey of 2.3 million voters suggested that Alf Landon would win the presidential election, but Roosevelt was instead re-elected by a landslide. George Gallup's research found that the error was mainly caused by participation bias; those who favored Landon were more enthusiastic about returning their postcards. Furthermore, the postcards were sent to a target audience who were more affluent than the American population as a whole, and therefore more likely to have Republican sympathies. At the same time, Gallup, Archibald Crossley and Elmo Roper conducted surveys that were far smaller but more scientifically based, and all three managed to correctly predict the result. The Literary Digest soon went out of business, while polling started to take off. Roper went on to correctly predict the two subsequent reelections of President Franklin D. Roosevelt. Louis Harris had been in the field of public opinion since 1947 when he joined the Elmo Roper firm, then later became partner. In September 1938, Jean Stoetzel, after having met Gallup, created IFOP, the Institut Français d'Opinion Publique, as the first European survey institute in Paris. Stoetzel started political polls in summer 1939 with the question "Why die for Danzig?", looking for popular support or dissent with this question asked by appeasement politician and future collaborationist Marcel Déat. Gallup launched a subsidiary in the United Kingdom that was almost alone in correctly predicting Labour's victory in the 1945 general election: virtually all other commentators had expected a victory for the Conservative Party, led by wartime leader Winston Churchill. The Allied occupation powers helped to create survey institutes in all of the Western occupation zones of Germany in 1947 and 1948 to better steer denazification. By the 1950s, various types of polling had spread to most democracies. Viewed from a long-term perspective, advertising had come under heavy pressure in the early 1930s. The Great Depression forced businesses to drastically cut back on their advertising spending. Layoffs and reductions were common at all agencies. The New Deal furthermore aggressively promoted consumerism, and minimized the value of (or need for) advertising. Historian Jackson Lears argues that "By the late 1930s, though, corporate advertisers had begun a successful counterattack against their critics." They rehabilitated the concept of consumer sovereignty by inventing scientific public opinion polls, and making it the centerpiece of their own market research, as well as the key to understanding politics. George Gallup, the vice president of Young and Rubicam, and numerous other advertising experts, led the way. Moving into the 1940s, the industry played a leading role in the ideological mobilization of the American people in fighting the Nazis and the Japanese in World War II. As part of that effort, they redefined the "American Way of Life" in terms of a commitment to free enterprise. "Advertisers", Lears concludes, "played a crucial hegemonic role in creating the consumer culture that dominated post-World War II American society."

Sample and polling methods Opinion polls for many years were maintained through telecommunications or in person-to-person contact. Methods and techniques vary, though they are widely accepted in most areas. Over the years, technological innovations have also influenced survey methods such as the availability of electronic clipboards and Internet based polling. Opinion polling developed into popular applications through popular thought, although response rates for some surveys declined. Also, the following has also led to differentiating results: Some polling organizations, such as Angus Reid Public Opinion, YouGov and Zogby use Internet surveys, where a sample is drawn from a large panel of volunteers, and the results are weighted to reflect the demographics of the population of interest. In contrast, popular web polls draw on whoever wishes to participate. Statistical learning methods have been proposed in order to exploit social media content (such as posts on the micro-blogging platform Twitter) for modelling and predicting voting intention polls.

… excerpt ends here. Continue reading the full article.

Illustrations

Opinion poll: Voter polling questionnaire on the 1996 Democratic Party presidential primary on display at the Smithsonian Institution
Voter polling questionnaire on the 1996 Democratic Party presidential primary on display at the Smithsonian Institution
Opinion poll: Voter turnout by race/ethnicity, 2008 US presidential election
Voter turnout by race/ethnicity, 2008 US presidential election

Worked examples

Example 1 — a first encounter with Opinion poll

Start with the simplest possible case. Write down what Opinion poll claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Opinion poll before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Opinion poll ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Opinion poll

In research
Opinion poll appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Opinion poll in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Opinion poll is common in secondary-school and first-year university syllabi. It links to neighbouring topics Polling, Pollsters, Public opinion, so understanding it makes those chapters shorter.
In everyday life
Look for Opinion poll outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Opinion poll in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Opinion poll means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Opinion poll out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Opinion poll in simple terms?

An opinion poll, often simply referred to as a survey or a poll, is a human research survey of public opinion from a particular sample. Opinion polls are usually designed to represent the opinions of a population by conducting a series of questions and then extrapolating generalities in ratio or wi…

Why does Opinion poll matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Opinion poll?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Opinion poll.

Tags

  • Polling
  • Pollsters
  • Public opinion
  • Sampling (statistics)
  • Social influence
  • Survey methodology
  • Surveys (human research)
  • Types of polling

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