Question

A local bank serves 43,900 customers. The bank generates a list of all its customers, assigns them consecutive IDs, then sends out a survey to every fourth customer. If 8,632 of the surveyed participants respond, what is the response rate, to the nearest integer?(1 point) Responses 79 percent 79 percent 20 percent 20 percent 25 percent 25 percent 10 percent

Answer 1

To calculate the response rate, you need to divide the number of respondents by the total number of customers surveyed and then multiply by 100 to express it as a percentage.

1. First, determine the number of customers surveyed. Since the bank surveys every fourth customer, the number of customers surveyed is:

\[ \text{Number of surveyed customers} = \frac{43,900}{4} = 10,975 \]

2. Now, you know that 8,632 of these surveyed customers responded. Thus, the response rate can be calculated as follows:

\[ \text{Response Rate} = \left( \frac{\text{Number of Respondents}}{\text{Number of Customers Surveyed}} \right) \times 100 = \left( \frac{8,632}{10,975} \right) \times 100 \]

3. Calculating this gives:

\[ \text{Response Rate} = \left( 0.7857 \right) \times 100 \approx 78.57% \]

4. Rounding to the nearest integer, the response rate is approximately 79%.

Therefore, the response rate is 79 percent.