
Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 1, Problem 10P
The population is ________
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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 1 Solutions
Introductory Statistics
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Nominal,...Ch. 1 - Design an experiment. Identify the explanatory and...Ch. 1 - Discuss potential violations of the rule requiring...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - For each of the following eight exercises,...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - For the following exercises, identify (he type of...Ch. 1 - Use the following information to answer the next...Ch. 1 - Use the following information to answer the next...Ch. 1 - Airline companies are interested in the...Ch. 1 - Suppose you want to determine the mean number of...Ch. 1 - Suppose you want to determine the mean number of...Ch. 1 - List some practical difficulties involved in...Ch. 1 - List some practical difficulties involved in...Ch. 1 - With your classmates, brainstorm some ways you...Ch. 1 - The instructor takes her sample by gathering data...Ch. 1 - A study was done to determine the age, number of...Ch. 1 - Name the sampling method used in each of the...Ch. 1 - A “random survey” was conducted of 3,2’4 people of...Ch. 1 - The Well-Being Index is a survey that follows...Ch. 1 - In advance of the 1936 Presidential Election, a...Ch. 1 - Crime-related and demographic statistics for 4 US...Ch. 1 - YouPolls is a website that allows anyone to create...Ch. 1 - A scholarly article about response rates begins...Ch. 1 - Fifty part-time students were asked how many...Ch. 1 - Sixty adults with gum disease were asked the...Ch. 1 - Nineteen immigrants to the U.S were asked how many...Ch. 1 - How much time does it take to navel to work? 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