Which of the Following are Assumptions for the Significance Test for the Proportion?

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Which of the following are assumptions for the Significance Test for the Proportion?

  • Data is Categorical;
  • Data is from a convenience sample;
  • Data is from a Normal Distribution
  • nPo and n(1-Po) are both greater than 15
  • Data is Quantitative.
  • Data is from a random sample.
  • nphat and n(1-phat) are both the greater than 15

Answer: Data is from a random sample; nPo and n(1-Po) are both greater than 15.

Explanation

The assumptions for a significance test for the proportion are:

  • Data is from a random sample.
  • [Sample is sufficiently large, which can be assumed to be true when nPo > 15 and n(1-Po) > 15. A significance test for a proportion can be used for both quantitative and categorical data.

We then note that the actual assumptions are:

  • Data is from a random sample
  • nPo and n(1-Po) are both greater than 15

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