Question

In: Statistics and Probability

one of the variables most often included in surveys is income. Sometimes the question is phrased​...

one of the variables most often included in surveys is income. Sometimes the question is phrased​ "What is your income​ (in thousands of​ dollars)?" In other​ surveys, the respondent

is asked to​ "Select the circle corresponding to your income​ level" and is given a number of income ranges to choose from. Complete parts a and b below.

part b. Which of these two formats would you prefer to use if you were conducting a​ survey? Why?(multiple choice)

A. Depending on the way the data is​ analyzed, either format could be used. If a continuous variable is​ preferred, use the second​ format, since income could be measured to different levels of precision. If a discrete variable is​ preferred, use the first format.

B. The second format would always be used because it forces the response to be discrete and will be easier to interpret than the result in the first format.

C. Depending on the way the data is​ analyzed, either format could be used. If a continuous variable is​ preferred, use the first​ format, since income could be measured to different levels of precision. If a discrete variable is​ preferred, use the second format.

D. The first format would always be used because it allows the response to be continuous and will allow for a more accurate assessment of the​ respondents' income.

Solutions

Expert Solution

Option C. Depending on the way the data is​ analyzed, either format could be used. If a continuous variable is​ preferred, use the first​ format, since income could be measured to different levels of precision. If a discrete variable is​ preferred, use the second format.

Explanation:

Analysis of income can be done in different ways.

For example, if we use a regression analysis to predict the income based on some other factors from the survey data, we expect the income to be a continuous variable.

On the other hand, suppose a researcher is interested to find if there is any significant influence of income levels on some other variable (say, monthly expense on clothing), moslty as in the cases where we perform an ANOVA, we consider the income to be in ranges (like '< 1 lakh', '1-3 lakh', '3-5 lakh', '> 5 lakh', etc) , as mentioned in the second format

i.e., the preference of the first or second format for recording the income in the survey depends on the goal behind the survey. For analyses where a continuos variable is required, we must follow the first format and for cases where continuos variable is not required, we can choose the second format.

Hence Option C is the correct answer.


Related Solutions

Why is the unreimbursed cost of Medicare most often not included as an element of community benefit?
A non-participating physician provides services to a Medicare patient who has total charges of $100 (before Medicare’s limiting charge is applied). The physician does not accept assignment, charges the maximum allowable, and submits the claim to Medicare. Assume Medicare’s approved schedule for these services is $80. What is the maximum amount the physician is allowed to charge the patient? What is the Medicare portion of the physician payment (which Medicare sends to the patient)? What is the patient’s portion of...
One issue that the Gallup Organization studies and surveys is Global Warming. One question that is...
One issue that the Gallup Organization studies and surveys is Global Warming. One question that is included in their surveys is: “Do you think that global warming will pose a serious threat to you or your way of life during your lifetime? In the past, 33% of Americans surveyed answered ‘Yes’ to this question. In January 2020, 405 of the 1012 Americans surveyed answered ‘Yes’ to this same question.   Does this 2020 data provide sufficient evidence to conclude that Americans...
Home mortgage interest is included for individuals most often on Schedule A to Form 1040. What...
Home mortgage interest is included for individuals most often on Schedule A to Form 1040. What are the limits on the deduction of home mortgage interest? What other items are deducted on Schedule A? When do taxpayers use Schedule A?
In models for the lifetimes of mechanical components, one sometimes uses random variables with distribution functions...
In models for the lifetimes of mechanical components, one sometimes uses random variables with distribution functions from the so-called Weibull family. Here is an example: F(x) = 0 for x < 0, and F(x) = 1 − e−5x^2 for x ≥ 0. Construct a random variable Z with this distribution from a U(0, 1) variable. Use Excel to perform the calculations and attach it/screenshot it
Surveys are often used to evaluate systems within health care entities. Such objective data is often...
Surveys are often used to evaluate systems within health care entities. Such objective data is often used by leadership within an organization to evaluate the effectiveness of organizational systems and processes. Suppose there was a recent decline in patient satisfaction, employee satisfaction, and culture of safety surveys. As an innovative healthcare leader, how would you approach addressing this recent data?
Question 1 Tests comparing 2 population means can be: surveys experiments both surveys and experiments Question...
Question 1 Tests comparing 2 population means can be: surveys experiments both surveys and experiments Question 2 If all the experimental units are identical (ex: clones), you will set up the study as: CRD Block Design Question 3 a 2 sample t-test still has which normality assumption(s)? The population is normal or n is greater than 30 both populations are normal or both sample sizes are greater than 30 Question 4 When you block by some variable in a block...
Rachel Carson. Carson’s most famous book, Silent Spring, is often named as one of the most...
Rachel Carson. Carson’s most famous book, Silent Spring, is often named as one of the most important books of the 20th century, and she is frequently called the mother of the modern environmental movement. Yet some question her relevance to today’s environmental debates, and others view her as a divisive or discredited figure. This week, we’ll discuss who Rachel Carson was and how her ideas and viewpoints still resonate in the 21st century. As a freelance writer, I’ve told Carson’s...
( C++ ) Occupancy rate is often considered to be one of the top three most...
( C++ ) Occupancy rate is often considered to be one of the top three most useful metrics for hotel owners. Generally speaking, those working in the hotel industry should be aiming for a high occupancy rate, because this indicates that space is being used efficiently. The occupancy rate of a hotel is expressed as a percentage. So, for example, if a hotel has 100 rooms available to be sold and 60 of those rooms are occupied, the occupancy rate...
Most Criminal Investigation cases involve proving that the taxpayer received income which was willfully not included...
Most Criminal Investigation cases involve proving that the taxpayer received income which was willfully not included on his or her tax return, or in the collection context, proving that the taxpayer willfully failed to pay taxes when possible to do so. The latter also requires that the IRS be able to reconstruct the taxpayer's income stream, often using indirect methods, such as using the taxpayer's bank deposits to determine the amount of income received by reviewing the deposits made to...
What is included in other comprehensive income? Why are items included in other comprehensive income, but...
What is included in other comprehensive income? Why are items included in other comprehensive income, but not included in net income? Should these items be included in net income or not included at all? Explain your answer.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT