Question

A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference for three different designs for a new automobile. Each individual in a sample of n = 30 males and n = 30 females selects a favorite design from the three choices. If the researcher obtains a chi-square statistic of χ2 = 4.81, what is the appropriate statistical decision for the test?

Answer 1

Explanation:

Given that a researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference for three different designs for a new automobile.

Thus we have gender divided into two rows and 3 designs into 3 columns

i.e.
`r=2 and c = 3`

So degree of freedom
`= (r-1)(c-1)\\=2`

Chi square = 4.81

p value = 0.090265

If significance level of 5% is taken then we hae

p value >0.05

Hence accept null hypothesis that there is independence between gender and designs