I am having trouble with the following question:

21.7 An investigator wishes to test whether creative artists are equally likely to be born under each of the 12 astrological signs. Based on this description, what type of study design is this? choose from t, F, or 2 tests. Moreover, Specify the precise form of the test. For example, is this a t test is for two population means with related samples? or a 2 test is for two variables? or a F test is for repeated measures?

My answer:

The investigator should conduct a 2 test. This is because both the IV and DV is qualitative. Moreover, the 2 test should be for one variable because the investigator is only looking at whether creative artists (one variable) are equally likely to be born under each of the 12 signs.

Please let me know if this is correct. Thank you!