Keith selected a random sample of 125 songs and classified each one as happy or sad. He then noted whether the song is in a major or minor key. He would like to determine if there is convincing evidence of an association between key and whether a song is happy or sad.

Observed counts:

Which statements are true regarding the check of conditions for this test? Check all that apply.

- This is a chi-square test for association.
- This is a chi-square test for homogeneity.
- The random condition is met because Keith selected a random sample of songs.
- The 10% condition is met because 125 < 10% of all songs.
- The large counts condition is met because the smallest expected count is 5.
- The large counts condition is met because the smallest expected count is 20.384.
- All conditions for inference are met.

The following statements are true regarding the check of conditions for this test: This is a chi-square test for association. The random condition is met because Keith selected a random sample of songs. The 10% condition is met because 125 is less than 10% of all songs. The large counts condition is met because the smallest expected count is 5.

In this scenario, Keith conducted a chi-square test to determine if there is convincing evidence of an association between key (major or minor) and the emotional classification of a song (happy or sad). To ensure the validity of the chi-square test, it is necessary to check the conditions before performing the test. First, it is appropriate to use a chi-square test for association in this case as we are analyzing the relationship between two categorical variables: key and emotion.

Next, the random condition is met because Keith selected a random sample of songs. This helps ensure that the sample is representative of the population and reduces bias. The 10% condition is also met since the sample size of 125 songs is less than 10% of all songs. This condition ensures that the sample size is small enough relative to the population size, preventing the sample from significantly influencing the population.

Finally, the large counts condition is met because the smallest expected count is 5. This condition is important for the validity of the chi-square test as it ensures that the expected counts in each cell are not too small, which can lead to unreliable results. Therefore, based on these conditions, all the necessary requirements for performing the chi-square test for association are satisfied.

Learn more about chi-square test here: brainly.com/question/14082240

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