Continue Solving 2 You decide to research a certain topic Yo

*Continue Solving*

2. You decide to research a certain topic. You collect data and organize them into a 5 X & table. You find that a chi square test wold be valid for your data, and find that this table has a X^2 of 34.5

What conclusion would you draw about the relationship between these two variables if a = 0.05

What conclusion would you draw about the relationship between these two variables if a = 0.10

Solution

As it is a 5x7 table, then the number of degrees of freedom is

df = (a-1)(b-1) = (5-1)(7-1) = 24

What conclusion would you draw about the relationship between these two variables if a = 0.05

At 0.05 level,

chi^2(Crit) = 36.4150285

Thus, as chi^2 < 36.42, then we fail to reject Ho.

The variables are independent of each other. [conclusion]

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What conclusion would you draw about the relationship between these two variables if a = 0.10

At 0.10 level, as df = 24,

chi^2(Crit) = 33.19624429

Thus, as chi^2 < 33.20, then we reject Ho.

The variables are not independent of each other. [conclusion]