Question

10) A professor has asked a group of students to study prison data for a class project. They were given a random sample of data from a nearby prison. They wanted to study the relationship between an prisoner's race and the type of offense committed for the conviction.   

a)            Identify the level of measurement for each variable.

b)            What inference test (hypothesis test) would be used to carry out this research analysis?

11) State the Null and Alternative Hypotheses for the research that is proposed in Question 10.

Answer 1

10) a)

Level of measurement for

• Prisoner's race: Nominal scale as these are of no quantitative value and the order is irrelevant here
• Type of Offense: Ordinal Scale as the scale of order is important here. But we don't know the differences between each value

b)

Chi-square test of independence can be used to find the association between two categorical variables

11)

Ho: Prisoner's race and type of offense are independent

Ha: Prisoner's race and type of offense are not independent