Questions: Using data presented in the table below, from the National Longitudinal Study of Adolescent Health (Wave IV), what percent of individuals had never been arrested? Round to the nearest tenths place (i.e., one decimal place). How many times have you been arrested? Frequency (f) ------ Never 11233 Once 2236 More than once 2224 Total (N) 15693

Using data presented in the table below, from the National Longitudinal Study of Adolescent Health (Wave IV), what percent of individuals had never been arrested? Round to the nearest tenths place (i.e., one decimal place). How many times have you been arrested? Frequency (f) ------ Never 11233 Once 2236 More than once 2224 Total (N) 15693
Transcript text: Using data presented in the table below, from the National Longitudinal Study of Adolescent Health (Wave IV), what percent of individuals had never been arrested? Round to the nearest tenths place (i.e., one decimal place). \begin{tabular}{|c|c|} \hline \multirow[t]{2}{*}{How many times have you been arrested?} & \\ \hline & Frequency (f) \\ \hline Never & 11233 \\ \hline Once & 2236 \\ \hline More than once & 2224 \\ \hline Total ( N ) & 15693 \\ \hline \end{tabular} $\square$
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Solution

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Solution Steps

To find the percentage of individuals who have never been arrested, divide the number of individuals who have never been arrested by the total number of individuals surveyed. Then, multiply the result by 100 to convert it to a percentage. Finally, round the result to the nearest tenth.

Step 1: Calculate the Percentage

To find the percentage of individuals who have never been arrested, we use the formula:

\[ \text{Percentage} = \left( \frac{\text{Number of individuals never arrested}}{\text{Total number of individuals}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage} = \left( \frac{11233}{15693} \right) \times 100 \]

Step 2: Perform the Calculation

Calculating the above expression gives:

\[ \text{Percentage} \approx 71.5797 \]

Step 3: Round the Result

Rounding \( 71.5797 \) to the nearest tenth results in:

\[ \text{Rounded Percentage} = 71.6 \]

Final Answer

The percentage of individuals who had never been arrested is \\(\boxed{71.6}\\).

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