# 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.

## 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  