Question

In: Statistics and Probability

Create an experiment which would use a Chi-Squared for Goodness of Fit test in order to...

Create an experiment which would use a Chi-Squared for Goodness of Fit test in order to examine a topic of either race or gender in society.

What is your independent variable?

please help me with this assignment, but only if you're willing to do it and not copy and paste someone else's work. thank you in advance.

Solutions

Expert Solution

(a)

An experiment which would use a Chi-Squared for Goodness of Fit test in order to examine a topic of race in society.:

Suppose a committee 275 persons is formed with the following races:

White =205

Black = 26

Hispanic = 25

Others = 19

Total = 275

The population proportions are as follows:

White = 0.72

Black = 0.07

Hispanic = 0.12

Others = 0.09

Total = 1.00

Research Question: Is the committee properly represented by the races?

Test Statitic () is calculated as follows:

Race Observed (O) Expected (E) (O - E)2/E
White 205 275 X 0.72 = 198 0.247
Black 26 275 X 0.07 = 19.25 2.367
Hispanic 25 275 X 0.12 = 33 1.939
Others 19 275 X 0.09 = 24.75 1.336
Total = = 5.89

Take = 0.05

df = 4- 1 = 3

From Table, critical value of = 7.815

Since calculated value of = 5.89 is less than critical value of = 7.815, the difference is not significant. Fail to reject null hypothesis.

Conclusion:

The data support the claim that the committee is properly represented by the races.

(b)

independent variable : race in society.


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