EBK BUSINESS STATISTICS
7th Edition
ISBN: 8220102743984
Author: STEPHAN
Publisher: PEARSON
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Chapter 4, Problem 4.65CRP
A 2013 Sage North America survey examined the “financial literacy” of small business owners. The study found that 23% of small business owners indicated concern about income tax compliance for their business; 41% of small business owners use accounting software, given that the small business owner indicated concern about income tax compliance for his or her business. Given that a small business owner did not indicate concern about income tax compliance for his or her business, 58% of small business owners use accounting software. (Data extracted from “Sage Financial Capability Survey: What Small Business Owners Don’t Understand Could Be Holding Them Back,” April 17, 2013, http://bit.ly/Z3FAqx.)
- Use Bayes’ theorem to find the
probability that a small business owner uses accounting software, given that the small business owner indicated concern about income tax compliance for his or her business. - Compare the result in (a) to the probability that a small business owner uses accounting software and comment on whether small business owners who are concerned about income tax compliance for their business are generally more likely to use accounting software than small business owners who are not concerned about income tax compliance for their business.
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Is it possible to predict the annual number of business bankruptcies by the number of
firm births (business starts) in the United States? The following data published by the
U.S. Small Business Administration, Office of Advocacy, are pairs of the number of
business bankruptcies (1,000s) and the number of firm births (10,000s) for a six-year
period.
Business Bankruptcies
(1,000)
34.3
Firm Births
(10,000)
58.1
35.0
55.4
38.5
57.0
40.1
58.5
35.5
57.4
37.9
58.0
i) Based on the output given, use these data to develop the equation of the
regression model to predict the number of business bankruptcies by the
number of firm births.
ii) Explain the values of r and r.
iii) Predict the number of business bankruptcies if the number of firm births is
54.0 (10,000s).
iv) Do the data support the existence of a linear relationship between the number
of firm births and the number of business bankruptcies? Test using a = 0.05.
OUTPUT
Model Summary
Std. Error of the
Estimate
Adusted R
Model
R
R Square…
Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. (Data Source: National Center for Health Statistics.)
A counseling psychologist sets out to look at the role of having children in relationship longevity. She decides to measure marital satisfaction in a group of couples with children and a group of childless couples. She chooses the Marital Satisfaction Inventory, because it refers to "partner" and "relationship" rather than "spouse" and "marriage," which makes it useful for research with both traditional and nontraditional couples.
Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction. Assume that these scores are normally distributed.
A sample of 39 couples with children scored an average of 51.1 with a sample standard deviation of 9.2 on the Marital Satisfaction…
Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. (Data Source: National Center for Health Statistics.)
A counseling psychologist sets out to look at the role of having children in relationship longevity. She decides to measure marital satisfaction in a group of couples with children and a group of childless couples. She chooses the Marital Satisfaction Inventory, because it refers to "partner" and "relationship" rather than "spouse" and "marriage," which makes it useful for research with both traditional and nontraditional couples.
Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction. Assume that these scores are normally distributed.
A sample of 39 couples with children scored an average of 51.1 with a sample standard deviation of 9.2 on the Marital Satisfaction…
Chapter 4 Solutions
EBK BUSINESS STATISTICS
Ch. 4 - Three coins are tossed. Give an example of a...Ch. 4 - An urn contains 12 red balls and 8 white balls....Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Prob. 4.4LBCh. 4 - For each of the following, indicate whether the...Ch. 4 - For each of the following, state whether the...Ch. 4 - Which of the following events occur with a...Ch. 4 - Prob. 4.8ACCh. 4 - Referring to the contingency table in Problem 4.8,...Ch. 4 - Prob. 4.10AC
Ch. 4 - Referring to the contingency table in problem...Ch. 4 - What business and technical skills are critical...Ch. 4 - Prob. 4.13ACCh. 4 - Prob. 4.14ACCh. 4 - Prob. 4.15ACCh. 4 - Prob. 4.16LBCh. 4 - Prob. 4.17LBCh. 4 - Prob. 4.18LBCh. 4 - Prob. 4.19LBCh. 4 - Prob. 4.20LBCh. 4 - Prob. 4.21ACCh. 4 - Prob. 4.22ACCh. 4 - Prob. 4.23ACCh. 4 - Prob. 4.24ACCh. 4 - Prob. 4.25ACCh. 4 - Each year, ratings are compiled concerning the...Ch. 4 - Prob. 4.27ACCh. 4 - Prob. 4.28ACCh. 4 - Prob. 4.29ACCh. 4 - Prob. 4.30LBCh. 4 - Prob. 4.31LBCh. 4 - Prob. 4.32ACCh. 4 - A banking executive is studying the role of trust...Ch. 4 - Olive Construction Company is determining whether...Ch. 4 - According to a report by The Kauffman Foundation...Ch. 4 - Prob. 4.36ACCh. 4 - Prob. 4.37ACCh. 4 - Prob. 4.38ACCh. 4 - A lock on a bank vault consists of three dials,...Ch. 4 - If a coin is tossed seven times, how many...Ch. 4 - A particular brand of womens jeans is available in...Ch. 4 - Prob. 4.42ACCh. 4 - Prob. 4.43ACCh. 4 - Prob. 4.44ACCh. 4 - Prob. 4.45ACCh. 4 - Prob. 4.46ACCh. 4 - Prob. 4.47ACCh. 4 - Prob. 4.48ACCh. 4 - Prob. 4.49ACCh. 4 - Prob. 4.50ACCh. 4 - Prob. 4.51ACCh. 4 - Prob. 4.52CYUCh. 4 - Prob. 4.53CYUCh. 4 - Prob. 4.54CYUCh. 4 - What is the difference between mutually exclusive...Ch. 4 - Prob. 4.56CYUCh. 4 - Prob. 4.57CYUCh. 4 - Prob. 4.58CYUCh. 4 - Prob. 4.59CYUCh. 4 - Prob. 4.60CRPCh. 4 - Prob. 4.61CRPCh. 4 - Prob. 4.62CRPCh. 4 - Prob. 4.63CRPCh. 4 - Prob. 4.64CRPCh. 4 - A 2013 Sage North America survey examined the...
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