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The report "Undergraduate Students and Credit Cards in 2004: An Analysis of Usage Rates and Trends" (Nellie Mae, May 2005 ) estimated that \(21 \%\) of undergraduates with credit cards pay them off each month and that the average outstanding balance on undergraduates' credit cards is \(\$ 2169 .\) These estimates were based on an online survey that was sent to 1260 students. Responses were received from 132 of these students. Is it reasonable to generalize the reported estimates to the population of all undergraduate students? Address at least two possible sources of bias in your answer.

Short Answer

Expert verified
No, it's not reasonable to generalize these results to the entire undergraduate population due to potential sources of bias including selection bias, non-response bias and sampling bias.

Step by step solution

01

Understand the survey's structure

Firstly, look at the results and the way the survey was structured: It was an online survey sent to 1260 students, but responses were only received from 132 of them. Which constitutes only approximately \(10.5\%\) of the total survey pool.
02

Identify potential sources of bias

Next, think about potential sources of bias: 1. **Selection bias**: Not all students responded to the survey - only those who chose to respond, hence the results may be skewed based on the type of students who chose to participate. 2. **Non-response bias**: The low response rate might have led to a significant non-response bias, as the results are not representative of the larger group that did not respond.3. **Sampling bias**: The sample is not likely representative of all students. For example, the report does not provide information about how the initial student population (1260 students) was selected. It's thus possible that the sample was not randomly selected, leading to potential bias in the sample.
03

Conclude on the reasonability of generalizing results

Taking into consideration the information in Step 1 and Step 2, one could say that it is NOT reasonable to generalize the reported estimates to the population of all undergraduate students. Given the sources of bias, the report's estimates may not accurately represent the average undergraduate student's credit card usage.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Selection Bias
Understanding selection bias is essential when interpreting survey data. When certain groups are over- or under-represented in a survey, it often leads to skewed results. In the context of the exercise, the issue at hand is that the respondents to the online survey were self-selected. This means that only a subset of the entire student body chose to participate.

Students with strong opinions about credit card usage, either positive or negative, might have been more inclined to respond. This can result in a selection bias because the participants do not accurately reflect the variety of all undergraduate students' experiences and behaviors. Those who didn't respond might have different credit practices, therefore painting a different picture than what the survey results suggest.
Non-response Bias
Non-response bias occurs when the answers of respondents differ in meaningful ways from non-respondents. In the case of the student credit card usage survey, a total of 1260 students were solicited, but only 132 responded. That's a mere 10.5% response rate, indicating that a vast majority of students chose not to partake in the survey.

This low response rate can greatly affect the validity of the survey results. If, for instance, students with higher balances were less likely to respond due to embarrassment or apathy, the average balance reported would fail to capture their data, thereby underestimating the real average debt.
Sampling Bias
Sampling bias refers to a sample that doesn't properly represent the whole population. In this survey, there's a lack of clarity about how the 1260 students were selected. Without knowing the selection process, we can't be sure if every undergraduate had an equal chance of being surveyed.

If the survey was sent out to an email list, the way students get on that list could introduce a sampling bias. Perhaps it only includes students who have previously shown interest in financial topics or those who have used university's financial services, skewing the results towards a certain demographic. This would not provide a clear picture of all undergraduates, making it unreasonable to generalize the survey results.
Generalization of Survey Results
Generalizing survey results means applying the findings from a sample to a broader population. However, this is only valid when the sample accurately reflects the entire population. The discussed survey's generalization is called into question due to the biases previously mentioned.

It is important for students to understand that a survey's findings can only be confidently generalized if the sample is representative, the response rate is sufficiently high to mitigate non-response bias, and there's no systematic exclusion or overrepresentation of certain groups to avoid selection bias. Given the potential for these biases in the credit card survey, it's advised to interpret the results with caution and not to apply them broadly to all undergraduate students.

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Most popular questions from this chapter

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Whether or not to continue a Mardi Gras Parade through downtown San Luis Obispo, CA, is a hotly debated topic. The parade is popular with students and many residents, but some celebrations have led to complaints and a call to eliminate the parade. The local newspaper conducted online and telephone surveys of its readers and was surprised by the results. The survey web site received more than 400 responses, with more than \(60 \%\) favoring continuing the parade, while the telephone response line received more than 120 calls, with more than \(90 \%\) favoring banning the parade (San Luis Obispo Tribune, March 3, 2004). What factors may have contributed to these very different results?

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