Question

In: Statistics and Probability

Do hypothesis testing (t test) Test to see if there is a difference between grade of...

Do hypothesis testing (t test)

Test to see if there is a difference between grade of male and female students - insert the SPSS output in the space below.

a- What would be the alternate hypothesis for the study?                                                

                               

b- What would be the null hypothesis?                                                         

               

c- What Level of Significance do you choose?                                              

d- What is the computed t critical value for the study?                                

                               

e- What is the P-value of the test?                  

               

f- What is the conclusion?

Gender Grade Ehicity
Female 87 African American
Male 95 Hispanic
Female 81 White
Female 74 White
Female 73 African American
Male 92 African American
Female 63 White
Female 55 White
Female 94 White
Female 84 White
Male 88 White
Male 78 Hispanic
Male 75 African American
Male 93 Hispanic
Female 87 Hispanic
Male 65 Hispanic
Male 90 African American
Female 89 African American
Female 82 White
Female 77 African American
Female 82 White
Female 72 White
Female 86 White
Female 60 White
Female 90 Hispanic
Male 87 Hispanic
Female 89 African American
Male 77 African American
Male 76 Hispanic
Female 80 Hispanic
Female 74 Hispanic
Female 88 White
Female 80 White
Female 80 African American
Female 81 White
Male 74 Hispanic
Male 80 White
Female 74 African American
Female 91 White
Male 74 White

Solutions

Expert Solution

a) The alternate hypothesis for the study is:

H1: There is a significant difference between mean grade of male and female students.

b) The null hypothesis is:    

H0: There is no significant difference between mean grade of male and female students.

c) The Level of Significance is 0.05

                                              

d) The computed t critical value for the study is 0.632                          

                               

e) The P-value of the test is 0.531                 

               

f) Conclusion: The p-value of t test is greater than 0.05. Hence we accept null hypothesis at 5% level of significance and conclude that there is no significant difference between mean grade of male and female students


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