The margin of error ________ (increases or decreases) with an increased sample size and ________ (increases or decreases) with an increase in confidence level.

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The margin of error decreases with an increased sample size and increases with an increase in confidence level.

With such a larger sample size, the margin of error lowers (grows or decreases), whereas, at a higher confidence level, it increases (increases or declines).

The margin of error:

  • A margin of error increases as the confidence level rises, resulting in a larger interval.
  • A margin of error is reduced as confidence is increased, resulting in a narrower interval.
  • By increasing sample size and confidence level, the margin of error lowers and grows.

             Margin of error [tex](E) = Z_c * {\frac{\sigma}{\sqrt{n}}}[/tex]

  • Here [tex]Z_c[/tex] denotes the confidence level's critical value.
  • Whenever it comes to sample size, n is the number of people who take part in the study.
  • As a result, the margin of error lowers as the sample size grows, and the margin of error increases as the confidence level grows.

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