Asked by Sarah Bradley on Jun 27, 2024

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In a survey of 1,000 television viewers,40% said they watch network news programs.For a 90% confidence level,the margin of error for this estimate is 2.5%.If we want to be 99% confident,how will the margin of error change?

A) Since more confidence requires a more narrow interval,the margin of error will be larger.
B) Since more confidence requires a more narrow interval,the margin of error will be smaller.
C) Since more confidence requires a wider interval,the margin of error will be larger.
D) Since more confidence requires a wider interval,the margin of error will be smaller.
E) There is not enough information to determine the effect on the margin of error.

Margin of Error

An indicator of the precision of an estimate, showing how much the estimated value could vary from the true value.

Confidence Level

A statistical measure that quantifies the certainty of an estimation or test result, often expressed as a percentage.

Television Viewers

Individuals who watch content on a television, encompassing a broad demographic that consumes broadcasting or streamed media.

  • Identify the effects of increasing confidence levels on the width of confidence intervals.
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KF
Katya FuentesJun 29, 2024
Final Answer :
C
Explanation :
When we want to be more confident, we need to have a wider interval to account for more variability in the data. Therefore, as we increase our confidence level from 90% to 99%, the margin of error will increase. This means that we will have a wider range of values within which the true proportion of viewers who watch network news programs is likely to fall.