Asked by Johnny Tsunami on May 09, 2024

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A politician claims 55% of the voters will vote for him in an upcoming election. An independent watchdog organization queried a random sample of 500 likely voters, of whom only 249 said they would vote for the politician in question.
Do the results of this sample support the politician's claim?

Independent Watchdog

An organization or body that operates independently to oversee and report on the effectiveness, legality, or morality of specific activities or organizations.

  • Analyze propositions and hypotheses concerning binomial distribution of variables within the realm of statistics.
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Pierre GérardMay 09, 2024
Final Answer :
No; 249 is more than 2 standard deviations below the mean. Sample results like this would occur approximately 2.5% of the time if the politician's claim of 55% were true.