Question

use the situation below to answer questions 7-10.
bennett middle school has 600 students enrolled in $6^{th}$-$8^{th}$ grades.
a list of 200 students were chosen at random and asked to fill out
a questionnaire regarding any duties they have when they are at home.
the data is shown in the table.

home life	yes	no
house chores	140	60
yard/farm chores	75	125
babysitting duties	45	155
cooking duties	10	190
pet/animal duties	120	80

7 approximately what percent of the population of bennett middle school can be predicted to have cooking duties at home?
a 10%
b 5%
c 15%
d 18%

8 about how many middle schoolers at bennett middle school can be assumed to not receive an allowance?
a 90
b 270
c 180
d 330

9 if the surveyors predicted 65% of students would have \house chores\, what was the error of their prediction in percentage points?
a 12%
b 20%
c 5%
d 14%

10 about how many middle schoolers at bennett middle school most likely have babysitting duties?
a 45
b 90
c 29
d 135

Explanation:

Step1: Calculate sample % for cooking

$\frac{10}{200} \times 100\% = 5\%$

Step2: Calculate non-allowance population

$\frac{90}{200} \times 600 = 270$

Step3: Calculate actual house chores %

$\frac{140}{200} \times 100\% = 70\%$

Step4: Find prediction error

$|70\% - 65\%| = 5\%$

Step5: Calculate babysitting population

$\frac{45}{200} \times 600 = 135$

Answer:

1. B. 5%
2. B. 270
3. C. 5%
4. D. 135