Questions: A midsize mobile carrier keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the category Poor tech support? Round your answer to two decimal places, If necessary. Customer Complaints Type of Complaint Frequency Poor coverage 118 Too expensive 99 Extra data usage charges 87 Long customer service wait times 92 Poor tech support 106 Incorrect billing 89 Insurance doesn't cover loss/theft 43 Frequently drops calls 156

A midsize mobile carrier keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the category Poor tech support? Round your answer to two decimal places, If necessary. Customer Complaints Type of Complaint Frequency Poor coverage 118 Too expensive 99 Extra data usage charges 87 Long customer service wait times 92 Poor tech support 106 Incorrect billing 89 Insurance doesn't cover loss/theft 43 Frequently drops calls 156
Transcript text: A midsize mobile carrier keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the category Poor tech support? Round your answer to two decimal places, If necessary. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Customer Complaints } \\ \hline Type of Complaint & Frequency \\ \hline Poor coverage & 118 \\ \hline Too expensive & 99 \\ \hline Extra data usage charges & 87 \\ \hline Long customer service wait times & 92 \\ \hline Poor tech support & 106 \\ \hline Incorrect billing & 89 \\ \hline Insurance doesn't cover loss/theft & 43 \\ \hline Frequently drops calls & 156 \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Calculate the Total Number of Complaints

To find the percentage of complaints due to "Poor tech support," we first need to calculate the total number of complaints. This is done by summing up all the frequencies in the table:

\[ \text{Total complaints} = 118 + 99 + 87 + 92 + 106 + 89 + 43 + 156 \]

\[ \text{Total complaints} = 790 \]

Step 2: Identify the Number of Complaints for "Poor Tech Support"

From the table, the number of complaints for "Poor tech support" is:

\[ \text{Poor tech support complaints} = 106 \]

Step 3: Calculate the Percentage of Complaints Due to "Poor Tech Support"

The percentage of complaints due to "Poor tech support" is calculated using the formula:

\[ \text{Percentage} = \left( \frac{\text{Poor tech support complaints}}{\text{Total complaints}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage} = \left( \frac{106}{790} \right) \times 100 \]

\[ \text{Percentage} = 13.4177\% \]

Rounding to two decimal places:

\[ \text{Percentage} = 13.42\% \]

Final Answer

\[ \boxed{13.42\%} \]

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