A polling agency reported that the proportion of 12th grade students who are engaged is 0.34. Engagement is defined as students' involvement and enthusiasm with school. The superintendent of one high school district believes the engagement of her students is higher than the proportion reported. She randomly surveys 90 of the 3600 students in the district and finds that 38 reported being engaged in school.

Required:
a. What type of variable is "engaged"?
b. What is the sample proportion of students in this high school district who are engaged?

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nuhulawal20 nuhulawal20 · Answer 1 · 2021-04-21T04:06:58+02:00

Answer:

a) "engaged" is a quantitative and continuous variable.

b) The sample proportion of students in this high school district who are engaged is 0.4222

Step-by-step explanation:

Given the data in the question;

Polling reports shows that 0.34 12th grade students are engaged

the principal surveyed 90 of the 3600 students,

number of students reported to be engaged is 38

a)

"engaged" is a quantitative and continuous variable.

b) the sample proportion of students in this high school district who are engaged.

Sample proportion of engaged = number of students reported to be engaged / total number of students surveyed

so

Sample proportion of engaged = 38 / 90

Sample proportion of engaged = 0.4222

Therefore, the sample proportion of students in this high school district who are engaged is 0.4222