Question

For male and female students music talent situation is given as follows:

GenderGood at Music Not Good at Music

male	16	5
female	20	12

Is music ability related with gender?

Please write out the steps with explanations

Answer 1

Solution

Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

H0​: The music ability and gender are independent.

Ha​: The music ability and gender are dependent.

Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is NOT enough evidence to claim that the music ability and gender are dependent, at the 0.05 significance level.

The corresponding p-value for the test is p=Pr(χ12​>1.091)=0.2963.