## Related questions with answers

Tell whether the sampling strategy will result in a random sample from the population under consideration. If it is not random, explain why it is not. A talk-show hostess wants to give free automobiles to ten random members of her audience. She instructs the ushers to go into the theater before the show and place special stickers under ten seats of their choice.

Solution

VerifiedA $\textbf{random sample}$ is a sample that was randomly selected from the population. That is, each individual in the population should have the same chance of being in the sample and thus each individual in the population should have a chance of being the sample as well.

10 of the members of the audience were selected by letting ushers place special stickers under 10 seats of their choice.

However, the ushers didn't place the stickers randomly (as they chose themselves) nor did the members of the audience randomly select a set (as people tend to chose themselves were they sit in the audience since some people prefer to sit at the front and others prefer to sit at the back). This then implies that the sample is $\textit{not a random sample}$.

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