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Software Survey. A statistical software company is planning on updating Version \(8.1\) of its software and wants to know what features are most important to users. The company's managers have the email addresses of 1100 individuals, mostly faculty at universities, for whom they have supplied free courtesy copies of Version 8.1. They email these 1100 individuals and ask them to complete a survey online. A total of 186 of these individuals complete the survey. a. What is the population of interest to the software company? Do you think the 1100 individuals contacted are representative of the population? Explain your reasons. b. What is the sample? From what group is information actually obtained?

Short Answer

Expert verified
The population of interest is all users of Version 8.1. The sample is 186 survey respondents from the 1100 contacted individuals.

Step by step solution

01

Identifying the Population of Interest

The population of interest, in this case, consists of all users of Version 8.1 of the software. The company is interested in understanding what features are most important to this group as a whole.
02

Assessing Representativeness

The 1100 individuals contacted are mostly faculty at universities who received free courtesy copies. This group may not be fully representative of all users of the software, as it does not include other potential users such as non-academic professionals or non-faculty university staff. Therefore, insights gained may be biased towards the preferences of the academic sector.
03

Understanding the Sample

The sample is the 186 individuals who actually completed the survey. Information is obtained only from these respondents, who represent a subset of the 1100 contacted individuals, potentially introducing further bias if these respondents differ systematically from those who did not respond.

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Key Concepts

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

Population of Interest
In any survey or study, identifying the population of interest is crucial. It helps researchers understand the larger group they are trying to make inferences about. In the context of the software survey, the population of interest consists of all people using Version 8.1 of the software. This is the collective group whose preferences and opinions the software company wishes to understand. They want to comprehend what features these users find most important as they plan future updates to their software.

By targeting users of Version 8.1, the company can ensure that the feedback they collect is relevant to people who actually use the product. However, a common challenge is ensuring that the sample from which they gather data genuinely represents the full population of interest. If the sample diverges significantly from the population of interest, the data may not accurately reflect all user needs or issues.
Sample Representativeness
An essential aspect of conducting surveys is ensuring that the sample is representative of the population of interest. In this exercise, the software company reached out to 1100 individuals, primarily faculty at universities who received courtesy copies of the software.

However, this group is not fully representative of all possible users of Version 8.1. Since these users are predominantly from academia, their feature preferences may differ from those of users in other fields, such as business or technology sectors.

To achieve sample representativeness, a more varied group should be included, encompassing different professional backgrounds, geographical locations, and user types (e.g., students, professionals, or tech enthusiasts). By diversifying the sample, the company would obtain insights that more accurately reflect the broad spectrum of user experiences and needs.
  • Ideally, random sampling from a comprehensive list of Version 8.1 users would help mitigate any bias.
  • Ensuring representativeness is vital as it increases the reliability and applicability of the survey findings across the entire user base.
Response Bias
Response bias occurs when the respondents' answers do not truly reflect their actual feelings or preferences. In the software survey scenario, response bias may be present as the 186 survey completions account for a small segment of the 1100 contacted individuals.

This small group might have certain characteristics or viewpoints that do not accurately represent the broader group of users. Individuals who choose to respond could have strong opinions about the software, either positively or negatively. Conversely, those who are indifferent or moderately satisfied might not feel compelled to respond.

The selection of survey participants can also induce bias. For greater authenticity, it would be beneficial for the company to employ strategies that encourage a more diverse array of respondents:
  • Incentivize participation to increase response rates and capture more varied opinions.
  • Ensure that the survey questions are clearly understood and unbiased in phrasing to reduce misunderstandings and leading responses.
By addressing these potential biases, the software company can aim for more accurate insights into what features truly matter to their users.

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Most popular questions from this chapter

An online store contacts 1000 customers from its list of customers who have purchased in the past year. In all, 696 of the 1000 say that they are very satisfied with the store's website. The population in this setting is a. all customers who have purchased something in the past year. b. the 1000 customers contacted. c. the 696 customers who were very satisfied with the store's website.

Sampling Greenville County. The rails to trails program involves the conversion of old rail corridors into multipurpose trails for recreation and transportation. Researchers were interested in obtaining information on characteristics of users and nonusers of a 10 -mile-long paved greenway trail in Greenville, South Carolina, that connects residential areas to both a university campus and the commercial downtown area of the city. Random digit dialing of residential numbers was done using a database of exchanges. A total of 2461 persons were contacted, and 726 of them completed the survey. When a household was reached, surveyors asked to speak to the adult over 18 with the next birthday. No cell phone numbers \(\mathrm{~ w e r e ~ i n c l u d e d ~ i n ~ t h e ~ s a m p l e . ? ? ?}\) a. What is the population of interest? What is the response rate for the survey? b. The following table gives the number of adults between 18 and 64 and over 65 in both the sample and the county (only 689 of the 726 respondents to the survey provided data on their ages). The county counts were obtained from the U.S. Census Bureau: What percentage of the sample is between 18 and 64? What percentage of the population is between 18 and 64? Does this difference surprise you, given the sampling method described? Explain briefly. c. Among the 726 respondents, 181 , or \(24.9 \%\), reported having used the trail in the past six months. Do you think this sampling method gives biased information about the percentage of Greenville County adults who have used the trail in the past six months? What is the likely direction of bias? Explain briefly.

Sampling Gravestones. The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the county for the years 1825 through 1985 . Historians plan to use these records to learn about African Americans in Coles County's history. They first choose an SRS of 395 records to check their accuracy by visiting the actual gravestones. 3 a. How would you label the 55,914 records? b. Use software, the Simple Random Sample applet, or Table \(\underline{B}\) (starting at line 141 ) to choose the first six records for the SRS.

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