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Answer: |p-72% |≤ 4%
Step-by-step explanation:
Let p be the population proportion.
The absolute inequality about p using an absolute value inequality.:
, where E = margin of error,
= sample proportion
Given: A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .
|p-72% |≤ 4%
⇒ 72% - 4% ≤ p ≤ 72% +4%
⇒ 68% ≤ p ≤ 76%.
i.e. p is most likely to be between 68% and 76% (.
The answer is “Yes, Mr. Yule’s sample is random and representative of the population” cause he randomly chose people from all greases
<em>Abe should not accept the $500 and play the game.The mathematical expectation of the game is $666.67. </em>
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<em>I may be wrong but that's my answer.</em>