Start by calculating the percentage of seventh graders in the sample who own a bracelet.
No, see solution.
Practice makes perfect
We want to determine whether the sample closely estimates the percentage of seventh graders who own a bracelet. We can do so in two steps.
Calculate the percentage of seventh graders in the sample who own a bracelet.
Compare the percentage of seventh graders in the sample who own a bracelet and the percentage of all seventh graders who own a bracelet.
We can do each of these steps one at a time.
Percentage in the Sample
We want to calculate the percentage of seventh graders in the sample who own a bracelet. We know that out of 30 seventh graders in the sample, 3 seventh graders own a bracelet. Now we can use the percent equation which tells us that the part of the whole a is the percent p multiplied by the whole w.
a=p % * w
Here, the number of seventh graders in the sample who own a bracelet, 3, is the part a, the percent is p, and the whole w is the number of seventh graders in the sample, 30.
Out of 30 seventh graders in the sample, 10 % own a bracelet.
Comparison
We know that 10 % of the seventh graders in the sample own a bracelet. We also know that 30 % of all seventh graders own a bracelet. Let's compare the percentages!
10 % ≈ 30 %
Notice that 10 % is not close to 30 %. This means that the sample does not closely estimates the percentage of seventh graders who own a bracelet.
