Mathematics

Luke

7 June, 18:05

A psychology professor at a university is interested in determining the proportion of undergraduate students at her university who self-identify as early-risers, night-owls, or neither. She decides to perform an observational study to investigate this question, so she randomly selects 500 undergraduate students from a university with 14364 undergraduate students enrolled to whom she poses her question. 274 respond that they would call themselves night-owls, 124 replied that they are early-risers, and 102 respond that they are neither.

Is it appropriate to conduct a hypothesis test for proportions, testing whether the proportion of college students who identify as night-owls is larger than 0.33?

Select one:

a. No, because the professor conducted an observational study.

b. Yes, it is appropriate.

c. No, because the professor's question had 3 possible answers.

d. No, because the assumptions necessary for inference are not met.