Test of Hypothesis and the Central Limit Theorem

Statistics and Probability / Tests of Hypothesis

Sample Question

Which test statistic formula is appropriate to use in hypothesis testing for population proportion when the Central Limit Theorem is used?

  • [%z=\displaystyle \frac{\overline{x}-\mu}{\displaystyle \frac{\sigma }{\sqrt{n}}}%]
  • [%z=\displaystyle \frac{\widehat{p}-p}{\sqrt{\displaystyle \frac{pq}{n}}}%]
  • [%z=\displaystyle \frac{\overline{x}-\mu}{\displaystyle \frac{s}{\sqrt{n}}}%]
  • [%z=\displaystyle \frac{p-\widehat{p}}{\sqrt{\displaystyle \frac{pq}{n}}}%]

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Statistics and Probability