Question

The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week:

Weekly Duration of Household Chores
Time (in hours) 0-1 2-3 4-5 6-7
Number of Students 32 64 3 1

There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week?
480

960

1,020

1,440

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the expected number of students in the school who would do household chores for at least two hours every week based on the sample proportion, we need to calculate the proportion of students in the sample who do household chores for at least two hours.

In the sample, there are:
- 64 students who do household chores for 2-3 hours (2-3 hours category)
- 3 students who do household chores for 4-5 hours (4-5 hours category)
- 1 student who do household chores for 6-7 hours (6-7 hours category)

So, the total number of students in the sample who do household chores for at least two hours is 64 + 3 + 1 = 68.

The proportion of students in the sample who do household chores for at least two hours is 68/100 = 0.68.

Now, we can use this proportion to estimate the number of students in the entire school who would be expected to do household chores for at least two hours every week:

Expected number of students = Proportion * Total number of students in the school
Expected number of students = 0.68 * 1,500
Expected number of students = 1,020

Therefore, based on the sample proportion, we would expect 1,020 students in the school to do household chores for at least two hours every week.

So, the answer is 1,020.