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1-2% of the population has red hair. If 800 people were randomly sampled, about how many of them would you expect to be red heads?

$2$ About $1-2 \%$ of the population has red hair. If $800$ people were randomly sampled, about how many of them would you expect to be red heads?

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Full solution

Q.

2

About

1-2 \%

of the population has red hair. If

800

people were randomly sampled, about how many of them would you expect to be red heads?

Calculate lower estimate: Calculate the lower estimate using $1\%$ of $800$ people. $\newline$ $1\%$ of $800 = 0.01 \times 800 = 8$
Calculate higher estimate: Calculate the higher estimate using $2\%$ of $800$ people. $\newline$ $2\%$ of $800$ = $0.02 \times 800$ = $16$
Determine expected number: Since the percentage range is $1-2\%$ , the expected number of red heads would be between the lower and higher estimates. $\newline$ So, we can expect about $8$ to $16$ red heads in the sample of $800$ people.

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