RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CHI SQUARE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which test would you use to see whether the fans that buy tickets are demographically the same as the general population of the city. Currently 42% are Caucasian, 35% are Hispanic, 12% are African American, 8% are Asian, and the rest are defined as other.
A
Chi-square Goodness of Fit Test
B
Chi-Square Test for Homogeneity
C
Chi-Square Test for Independence/Association
D
Not a Chi-square test
Explanation: 

Detailed explanation-1: -The chi-square test is used to determine whether there is a statistical difference between two categorical variables (e.g., gender and preferred car colour). On the other hand, the F test is used when you want to know whether there is a statistical difference between two continuous variables (e.g., height and weight).

Detailed explanation-2: -Both chi-square tests and t tests can test for differences between two groups. However, a t test is used when you have a dependent quantitative variable and an independent categorical variable (with two groups). A chi-square test of independence is used when you have two categorical variables.

Detailed explanation-3: -The chi-square test is used exclusively for data put into classes (bins), and it requires a sufficient sample size in order to produce accurate results. Goodness-of-fit tests are commonly used to test for the normality of residuals or to determine whether two samples are gathered from identical distributions.

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