Statistics: Sampling Distribution of p̂ Population Proportion
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Questions and Answers

What is the population proportion denoted as?

  • x
  • n
  • q
  • (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 $nq &gt; 5$ (C)</p> Signup and view all the answers

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

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

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