Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

\begin{tabular}{|c|c|c|c|c|c|}
\hline
\multirow[b]{2}{}{Hair Color} & \multicolumn{4}{|c|}{Eye Color} & \multirow[b]{2}{}{Marginal Total} \\
\cline{2-5}
& Blue & Gray & Green & Brown & \\
\hline
Blond & 42 & 5 & 21 & 10 & 78 \\
\hline
Red & 12 & 22 & 19 & 12 & 65 \\
\hline
Brown & 22 & 5 & 12 & 34 & 73 \\
\hline
Black & 9 & 3 & 11 & 64 & 87 \\
\hline
Marginal Total & 85 & 35 & 63 & 120 & 303 \\
\hline
\end{tabular}

As part of a class project, a university student surveyed students in the cafeteria to look for a relationship between the students' eye color and hair color. The table contains the survey results.

The percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by [tex]$\square$[/tex] percentage points. (Round off your answer to the nearest whole number.)

Question

04-08-2024
Mathematics

Answered

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

\begin{tabular}{|c|c|c|c|c|c|}
\hline
\multirow[b]{2}{}{Hair Color} & \multicolumn{4}{|c|}{Eye Color} & \multirow[b]{2}{}{Marginal Total} \\
\cline{2-5}
& Blue & Gray & Green & Brown & \\
\hline
Blond & 42 & 5 & 21 & 10 & 78 \\
\hline
Red & 12 & 22 & 19 & 12 & 65 \\
\hline
Brown & 22 & 5 & 12 & 34 & 73 \\
\hline
Black & 9 & 3 & 11 & 64 & 87 \\
\hline
Marginal Total & 85 & 35 & 63 & 120 & 303 \\
\hline
\end{tabular}

As part of a class project, a university student surveyed students in the cafeteria to look for a relationship between the students' eye color and hair color. The table contains the survey results.

The percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by [tex]$\square$[/tex] percentage points. (Round off your answer to the nearest whole number.)

Answer :

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The percentage of the sample population with brown eyes and black hair is 21.122112211221122%.

The percentage of the sample population with blue eyes and black hair is 2.9702970297029703%.

The difference between these percentages is 18.151815181518153%.

When rounded to the nearest whole number, the answer is 18%.

Therefore, the percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by 18 percentage points.