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Statistics: Sampling Distribution of p̂ Population Proportion
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Statistics: Sampling Distribution of p̂ Population Proportion

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Questions and Answers

What is the population proportion denoted as?

  • x
  • n
  • q
  • p̂ (correct)

    • What does the symbol p̂ represent?

  • Sampling error
  • Population mean
  • Sample proportion (correct)
  • Population proportion

    • In the sampling distribution of p̂, what does q represent?

  • 1 - p (correct)
  • Sample size
  • Population proportion
  • Sampling error

    • Under what condition does the Central Limit Theorem state that the sampling distribution of p̂ is approximately normal?

    <p>$np &gt; 5$ and $nq &gt; 5$</p> Signup and view all the answers

    If $N > 0.05$, what formula is appropriate to calculate the standard deviation of p̂?

    <p>$rac{pq \times n}{N-1}$</p> Signup and view all the answers

    When np > 5 and nq > 5, what shape does the sampling distribution of p̂ best approximate?

    <p>Normal distribution</p> Signup and view all the answers

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