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A teacher collected data from students to track whether they had completed the test review before their most recent test and whether they passed the test. The table below shows the relative frequencies.

\begin{tabular}{|c|l|l|l|}
\hline
& Passed Test & Did Not Pass Test & Total \\
\hline
Completed Test Review & [tex]$54\%$[/tex] & [tex]$17\%$[/tex] & [tex]$71\%$[/tex] \\
\hline
Did Not Complete Test Review & [tex]$13\%$[/tex] & [tex]$16\%$[/tex] & [tex]$29\%$[/tex] \\
\hline
Total & [tex]$67\%$[/tex] & [tex]$33\%$[/tex] & [tex]$100\%$[/tex] \\
\hline
\end{tabular}

What percentage of students who completed the test review passed the test?

A. [tex]$80.60\%$[/tex]

B. [tex]$76.06\%$[/tex]

C. [tex]$67\%$[/tex]

D. [tex]$54\%$[/tex]



Answer :

GinnyAnswer
To find the percentage of students who completed the test review and passed the test, follow these steps:

1. Identify the relevant percentages from the table:
- The percentage of students who completed the test review and passed the test is \(54\% \).
- The total percentage of students who completed the test review is \(71\% \).

2. Calculate the percentage of students who completed the test review and passed the test:
- To find this percentage, divide the percentage of students who completed the test review and passed the test by the total percentage of students who completed the test review.

Therefore, the calculation can be written as:
[tex]\[ \text{Percentage of Students Who Passed and Completed Review} = \left(\frac{\text{Completed and Passed}}{\text{Completed Total}}\right) \times 100 \][/tex]

Substitute the values:
[tex]\[ \text{Percentage of Students Who Passed and Completed Review} = \left(\frac{54\%}{71\%}\right) \times 100 \][/tex]

When you perform this division and multiplication, you get:
[tex]\[ \text{Percentage of Students Who Passed and Completed Review} = 76.06\% \][/tex]

Hence, the percentage of students who completed the test review and passed the test is [tex]\( \boxed{76.06\%} \)[/tex].

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