Prior to graduation,a high school class was surveyed about their plans after high school.The table below displays the results by gender. Suppose we wish to test the null hypothesis that there is no association between plans after high school and gender.Under the null hypothesis,what is the expected number of female students who are planning to work?
A)3
B)7.68
C)8.5
D)39.46

Question

Prior to graduation,a high school class was surveyed about their plans after high school.The table below displays the results by gender.  Suppose we wish to test the null hypothesis that there is no association between plans after high school and gender.Under the null hypothesis,what is the expected number of female students who are planning to work?
A)3 
B)7.68 
C)8.5 
D)39.46

Quizplus · Accepted Answer

To calculate the expected values, we need to find the total number of students in each category and multiply it by the proportion of the respective gender.

The total number of female students is 300, and the proportion planning to work is 0.096. So, the expected number of female students planning to work is:

300 * 0.096 = 28.8

Rounding to the nearest integer, we get 29. Therefore, the expected number of female students planning to work is 29.

Note that for the other categories, we would follow the same procedure and find their respective expected values.

Prior to Graduation,a High School Class Was Surveyed About Their