A national survey of 50,000 sixth graders asked if they know what they would like to do when they get older. The results are shown in the table. Suppose you ask 550 sixth graders if they know what career they want to pursue. Predict how many would say yes and how many would say no. Will your prediction always hold true? Explain. Here's the table.
know for sure - 28%
do not know - 52%
have an idea - 20%
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Since in the national survey it was measured that 28%, or 0.28, of 50,000 sixth graders said they knew which career they wished to pursue, you can multiply your experimental total of 550 by 0.28.
550 * 0.28 = 154 students will say yes.
You can perform a similar equation to predict how many say no. 52% is equal to 0.52.
550 * 0.52 = 286 students will say no.
Of course, your prediction will not always hold true, since your sample size of 550 may be not be an accurate representation of the whole population of 50,000 sixth-grade students.