Questions: So far we have covered Pearson's Chi square test (of Association), Pearson's Correlation analysis coefficient and One sample t test; From the following options please identify what is common among all three? - All three are suitable for continuous data. - All three can be used regardless of the measurement scale of the test variable/s. - We use p value to decide whether to reject or retain null. - All three are suitable for categorical data. - All three tests were designed/created by same person. - All three give us hard time (while it may ring true for you, but it is not the correct answer :)).

So far we have covered Pearson's Chi square test (of Association), Pearson's Correlation analysis coefficient and One sample t test; From the following options please identify what is common among all three?
- All three are suitable for continuous data.
- All three can be used regardless of the measurement scale of the test variable/s.
- We use p value to decide whether to reject or retain null.
- All three are suitable for categorical data.
- All three tests were designed/created by same person.
- All three give us hard time (while it may ring true for you, but it is not the correct answer :)).

Transcript text: 1 points Save Answ So far we have covered Pearson's Chi square test (of Association), Pearson's Correlation analysis \& coefficient and One sample t test; From the following options please identify what is common among all three? All three are suitable for continuous data. All three can be used regardless of the measurement scale of the test variable/s. We use $p$ value to decide whether to reject or retain null. All three are suitable for categorical data. All three tests were designed/created by same person. All three give us hard time (while it may ring true for you, but it is not the correct answer :)).

Solution

The answer is: We use $ p $ value to decide whether to reject or retain null.

Explanation for each option:

All three are suitable for continuous data.
- Incorrect. Pearson's Chi-square test is typically used for categorical data, not continuous data. Pearson's Correlation and the One-sample t-test are used for continuous data.
All three can be used regardless of the measurement scale of the test variable/s.
- Incorrect. The measurement scale is important for these tests. For example, Pearson's Chi-square test is used for categorical data, while Pearson's Correlation and the One-sample t-test are used for continuous data.
We use $ p $ value to decide whether to reject or retain null.
- Correct. All three tests involve hypothesis testing where the $ p $ value is used to determine whether to reject or retain the null hypothesis.
All three are suitable for categorical data.
- Incorrect. Only Pearson's Chi-square test is suitable for categorical data. The other two tests are used for continuous data.
All three tests were designed/created by the same person.
- Incorrect. While Pearson's name is associated with the Chi-square test and the correlation coefficient, the One-sample t-test was developed by William Sealy Gosset under the pseudonym "Student."
All three give us a hard time (while it may ring true for you, but it is not the correct answer :)).
- Incorrect. This is a humorous option and not a factual statement about the tests.

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