Twenty percent of all seventh graders have watched a horse race. Explain whether the sample closely estimates the percentage of seventh graders who have watched a horse race.
In a sample of $15$ seventh graders, $4$ have watched a horse race.

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Solution

Step 1: Number of seventh graders = $15$
Twenty percent of all seventh graders have watched a horse race.
Step 2: $20 %$ of the number of seventh graders $= \frac{20}{100} \times 15 = 3$
Hence, $3$ only watched the horse race not $4$
No, the sample estimation of the percentage of $15$ seventh graders who have watched a horse race is not valid.

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Twenty percent of all seventh graders have watched a horse race. Explain whether the sample closely estimates the percentage of seventh graders who have watched a horse race.In a sample of 15 seventh graders, 4 have watched a horse race.

Twenty percent of all seventh graders have watched a horse race. Explain whether the sample closely estimates the percentage of seventh graders who have watched a horse race.
In a sample of $15$ seventh graders, $4$ have watched a horse race.