Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Chapter 6, Problem 6.60CE
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The table below shows the estimated effects for a logistic regression model with squamous cell esophageal cancer (Y = 1, yes; Y = 0, no) as the response. Smoking status (S) equals 1 for at least one pack per day and 0 otherwise, alcohol consumption (A) equals the average number of alcohoic drinks consumed per day, and race (R) equals 1 for blacks and 0 for whites.
Variable
Effect (β)
P-value
Intercept
-7.00
<0.01
Alcohol use
0.10
0.03
Smoking
1.20
<0.01
Race
0.30
0.02
Race × smoking
0.20
0.04
Write-out the prediction equation (i.e., the logistic regression model) when R = 0 and again when R = 1. Find the fitted Y S conditional odds ratio in each case.
Next, write-out the logistic regression model when S = 0 and again when S = 1. Find the fitted Y R conditional odds ratio in each case.
The chi-squared goodness-of-fit test can be used to test if data comes from a specific continuous distribution by binning the data to make it
categorical.
Using the OpenIntro Statistics county_complete dataset, test the hypothesis that the persons_per_household 2019 values come from a normal
distribution with mean and standard deviation equal to that variable's mean and standard deviation. Use signficance level a = 0.01.
In your solution you should
1. Formulate the hypotheses
2. Fill in this table
Range
(-⁰⁰, 2.34]
(2.34, 2.81]
(2.81, 3.27]
(3.27,00)
Observed
802
Expected
854.2
The first row has been filled in. That should give you a hint for how to calculate the expected frequencies. Remember that the expected
frequencies are calculated under the assumption that the null hypothesis is true.
FYI, the bounderies for each range were obtained using JASP's drag-and-drop cut function with 8 levels. Then some of the groups were
merged.
3. Check any conditions required by the chi-squared…
Suppose that you want to estimate the mean monthly gross income of all households in your local community. You decide to estimate this population parameter by calling 150 randomly selected residents and asking each individual to report the household’s monthly income. Assume that you use the local phone directory as the frame in selecting the households to be included in your sample.
What are some possible sources of error that might arise in your effort to estimate the population mean?
Chapter 6 Solutions
Introduction to Business Statistics
Ch. 6.1 - Prob. 6.1ECh. 6.1 - Indicate whether each of the following random...Ch. 6.1 - Indicate whether each of the following random...Ch. 6.1 - Prob. 6.4ECh. 6.1 - Prob. 6.5ECh. 6.1 - Determine the mean, variance, and standard...Ch. 6.1 - Determine the mean, variance, and standard...Ch. 6.1 - Prob. 6.8ECh. 6.1 - Prob. 6.9ECh. 6.1 - Prob. 6.10E
Ch. 6.1 - A consultant has presented his client with three...Ch. 6.1 - Prob. 6.12ECh. 6.1 - Prob. 6.13ECh. 6.1 - Laura McCarthy, the owner of Riverside Bakery, has...Ch. 6.1 - In 2007, nearly 24 million tons of steel mill...Ch. 6.2 - What is necessary for a process to be considered a...Ch. 6.2 - When we are sampling without replacement, under...Ch. 6.2 - Prob. 6.18ECh. 6.2 - Prob. 6.19ECh. 6.2 - A city law-enforcement official has stated that...Ch. 6.2 - Prob. 6.21ECh. 6.2 - According to the National Marine Manufacturers...Ch. 6.2 - In the town of Hickoryville, an adult citizen has...Ch. 6.2 - It has been reported that the overall graduation...Ch. 6.2 - Prob. 6.25ECh. 6.2 - The U.S. Department of Labor has reported that 30%...Ch. 6.2 - Alicia’s schedule includes three Tuesday/Thursday...Ch. 6.2 - OfficeQuip is a small office supply firm that is...Ch. 6.2 - Four wheel bearings are to be replaced on a...Ch. 6.2 - It has been estimated that one in five Americans...Ch. 6.2 - Airlines book more seats than arc actually...Ch. 6.2 - Every day, artists at Arnold’s House of Fine...Ch. 6.3 - Under what circumstances should the hypergeometric...Ch. 6.3 - Using the hypergeometric distribution, with...Ch. 6.3 - Using the hypergeometric distribution, with...Ch. 6.3 - In a criminal trial, there are 25 persons who have...Ch. 6.3 - A computer firm must send a group of three...Ch. 6.3 - Prob. 6.38ECh. 6.4 - Prob. 6.39ECh. 6.4 - Prob. 6.40ECh. 6.4 - Prob. 6.41ECh. 6.4 - Prob. 6.42ECh. 6.4 - The U.S. divorce rate has been reported as 3.6...Ch. 6.4 - During the 12 P.M.-1 P.M. noon hour, arrivals at a...Ch. 6.4 - During the winter heating season in a northern...Ch. 6.4 - Prob. 6.46ECh. 6.4 - Prob. 6.47ECh. 6.4 - Prob. 6.48ECh. 6.4 - Prob. 6.49ECh. 6.4 - A manufacturing plant’s main production line...Ch. 6.4 - Prob. 6.51ECh. 6 - The owner of a charter fishing boat has found that...Ch. 6 - Prob. 6.55CECh. 6 - Prob. 6.56CECh. 6 - Prob. 6.57CECh. 6 - Prob. 6.58CECh. 6 - Prob. 6.59CECh. 6 - Prob. 6.60CECh. 6 - A mining company finds that daily lost-work...Ch. 6 - Prob. 6.62CECh. 6 - Prob. 6.63CECh. 6 - Prob. 6.64CECh. 6 - Prob. 6.65CECh. 6 - Seven of the 15 campus police officers available...Ch. 6 - Prob. 6.67CECh. 6 - Prob. 6.68CECh. 6 - Prob. 6.69CECh. 6 - Prob. 6.70CECh. 6 - Prob. 6.71CECh. 6 - Prob. 6.72CECh. 6 - Prob. 6.73CECh. 6 - Prob. 6.74CECh. 6 - Prob. 6.75CECh. 6 - Prob. 6.76CECh. 6 - Prob. 6.77CECh. 6 - Prob. 6.78CECh. 6 - Prob. 6.79CECh. 6 - Prob. 6.80CE
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