Final answer:
Using the national average enrollment rate of 66%, the expected number of students enrolled in higher education from a graduating class of 200 is 132, and the expected number not enrolled is 68.
Step-by-step explanation:
Chi-Square Goodness of Fit Test
To determine the expected number of students from the high school graduating class enrolled and not enrolled in higher education, we can apply the national proportion of 66%. With a graduating class of 200 students, the expected numbers can be calculated as follows:
Calculate the expected number of enrolled students by multiplying the total number of graduates by 0.66 (the national enrollment rate).
Calculate the expected number of students not enrolled by subtracting the expected number of enrolled students from the total number of graduates.
So for the enrolled students:
Expected enrolled = Total graduates × National enrollment rate
Expected enrolled = 200 × 0.66
Expected enrolled = 132
And for the students not enrolled:
Expected not enrolled = Total graduates - Expected enrolled
Expected not enrolled = 200 - 132
Expected not enrolled = 68
Therefore, the expected numbers are 132 students enrolled and 68 students not enrolled in higher education, based on the national average.