At a large university, 20% of a random sample of male students have an overall g

Question

At a large university, 20% of a random sample of male students have an overall grade point average (GPA) of 3.5 or higher. A random sample of female student records found that 25% had a GPA of 3.5 or higher. The president of the university wants to determine whether there is evidence of a difference in grades between males and females. What would she write as the null and alternative hypotheses for this situation? (4 points)

H0:p1 p2 = 0 and Ha:p1 p2 0

H0:p1 p2 = 0 and Ha:p1 p2 > 0

H0:p1 p2 = 0 and Ha:p1 p2 < 0

H0:p1 p2 > 0 and Ha:p1 p2 = 0

H0:p1 p2 > 0 and Ha:p1 p2 0

H0:p1 p2 = 0 and Ha:p1 p2 0

H0:p1 p2 = 0 and Ha:p1 p2 > 0

H0:p1 p2 = 0 and Ha:p1 p2 < 0

H0:p1 p2 > 0 and Ha:p1 p2 = 0

H0:p1 p2 > 0 and Ha:p1 p2 0

Explanation / Answer

Since the test is for the differenece in proportions of grade between males and females, the correct null and alternative hypotheses will be:

H0:p1 p2 = 0 and Ha:p1 p2 0

Option A is correct.

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