Question

. A college dean noticed that political science seemed to attract more male majors than psychology. She wondered if her observation were true. So, she obtained a random sample from each major and recorded the sex of each student. The table below shows her results. She analyzed the data and found a chi square test statistic of 3.66. Answer the questions below based on the information given with alpha = .01.

	Observed		Expected
	Female	Male	Female	Male
Psychology	23	13	19.64	16.36
Political Science	7	12	10.36	8.64

a. What are the variables being analyzed?

b. Write the null hypothesis

. c. Write the alternative hypothesis.

d. What type of test would be used to analyze this data? Be specific.

e. What is the critical value for alpha = .01? (need the table in the book)

f. Is the result of the statistical test significant?

g. Do you need to calculate Cramer’s V? If yes, state the value. If no, state why not?

h. Write the result in correct APA statistical notation.

i. Summarize the results in one or two sentences.

Answer 1

a)

political science seemed to attract more male majors than psychology

b)

Ho: given two variable are independent
c)

H1: Given two variables are not independent

d)

Chi square test of independence.

e)

Level of Significance =   0.01                      
Number of Rows =   2                      
Number of Columns =   2                      
Degrees of Freedom=(#row - 1)(#column -1) = (2- 1 ) * ( 2- 1 ) =   1                      
                          

Critical Value =   6.635   [ Excel function: =CHISQ.INV.RT(α,DF) ]                  

f)

Decision: test statistic,X² < critical value , So, Do not reject the null hypothesis          

Not significant

g)

Not as value is not significant

THANKS

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