Push Polling

Any poll that has been somehow skewed toward a certain result.

One method is framing the questions to get the answers you want, typically with loaded questions.

Close, but not the same, is where you don't care about the answer, you just are using the questions themselves to sway people: the poll is propaganda or rumormongering masquerading as opinion polling. Example: "Do you believe we should retreat and let the enemy conquer the world? (Yes/No)".

Another is polling people when you already know how they will answer, that is, only polling people who might already have the opinion you want. For example, polling only rich people about whether the gas prices are excessive.

Also there is polling people to identify their opinion personally in order to discover exactly who has what opinion, which is the opposite of legitimate polls where people are only identified by the demographic, not by name.

Examples of Push Polling include:

PiQ's (replacement for Newtype USA) article regarding fans' opinions on their new format. The fact that it was called the "Cheese and Whine Party" pretty much guaranteed that anyone who didn't like it wasn't exactly going to get much sympathy.
One episode of Yes Prime Minister had Sir Humphrey demonstrate how this works by asking Bernard two separate series of questions, one leading to the obvious conclusion that compulsory military service would be a good thing and the other leading to the obvious conclusion that compulsory military service would be a bad thing.
There was a famous Real Life example to show how people will sign any petition if it's worded the right way. People were asked to sign a petition to ban the substance dihydrogen monoxide - used in industry with almost no regulations, used by various kinds of criminals, capable of killing humans and other animals, able to corrode iron... Of course, anyone with a basic knowledge of chemistry should know what molecule has two hydrogen atoms and one oxygen atom.
- Adam Carolla of The Man Show was able to convince over a thousand women to sign a petition to end women's suffrage, though this might be more related to Viewers are Morons.
A Peanuts special ("You're Not Elected, Charlie Brown") had Lucy taking an opinion poll to see if Linus could win the school election. Naturally, she intimidated everyone into saying they would vote for him and she thus concluded that he had a good chance.
One infamous push poll was created by Karl Rove while working to get George W. Bush nominated for president over John McCain. "Would you be more likely or less likely to vote for John McCain for president if you knew he had fathered an illegitimate black child?" It doesn't matter because he didn't, but they didn't technically accuse him of doing so.
Parodied by Stephen Colbert: <insert person>, Great <relative position> or Greatest <relative position>? (George Bush, Great President or Greatest President?)
Moral philosophers do this on purpose, and are always depressed that they can completely change someone's answer to the most fundamental questions of life by changing only the way exactly the same question is phrased.
When Kay Hagan was running against Elizabeth Dole for a North Carolina U.S. Senate seat, potential voters received calls from a company which was taking a poll. One of the questions, "Would it affect your vote to know that Kay Hagan is associating with and taking money from atheists?" This question and some others like it soon made it clear that the "polling company" was not legitimate, but was only asking questions to raise doubts about Hagan. Dole's campaign also ran a TV ad implying that Hagan, who was a former Sunday school teacher, was an atheist. By the way, Dole lost the election.
Calvin of Calvin and Hobbes likes to confront his dad with polls of the 6-year-old and tiger populations of the house. While these invariably show a landslide of popular opinion, his father inexplicably remains unmoved.
Happens all the time on Wikipedia. Many people seem to think they can change the (nebulous) rules and force all other editors to do what they say, simply by holding a small biased poll on the matter. One of the more famous ones was a policy proposal to outlaw sarcasm.
A rumored Real Life example that led to the break-up of the Soviet Union. The politicians interested in splitting the Union polled the general public with the question "Do you want to be independent?" Obviously, nobody is going to answer "no". They used the answer to justify the break-up.
On Parks and Recreation, Leslie tried to get public support for building a park, by presenting the question to the public as "Wouldn't you rather have a park than a storage facility for nuclear waste?"
Demonstrated on Penn & Teller: Bullshit! in an episode about statistics. One guest shows how polls are slanted to get a certain answer by asking questions of the same person and getting conflicted answers.
This was essentially how the famous "Dewey Defeats Truman" newspaper headline came to be, though it was unintentional. The newspaper conducted a phone poll to determine who people would be voting for. Unfortunately, phones were a new invention at the time; and only wealthy families had telephones installed in their homes. So, while those individuals likely did vote for Dewey, the lower- and middle-classes majorly voted for Truman.
The Trump White House blatantly and and clumsily stacked the deck in its favor in the "Inaugural Year Approval" survey it asked citizens to fill out at the end of 2017. In its first question, it permitted only positive responses about the performance of the Trump Administration, plus "Other". In its second question, it added "Poor" as an option for the performance of the Obama administration.
- An almost identical poll can be found on gop.com as of the middle of 2018.
Similarly, the GOP's Mainstream Media Accountability Survey (online since February 2017). After the first few questions, an obvious anti-media slant becomes obvious with almost no way to answer the questions as written without implicitly accepting their bias as an axiom.