
Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 18.9, Problem 5.2LC
To determine
Explain which distribution is approximated to test statistic H, when the null hypothesis is true and the number of participants per group is at least
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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)
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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
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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.
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Chapter 18 Solutions
Statistics for the Behavioral Sciences
Ch. 18.1 - Prob. 1.1LCCh. 18.1 - Prob. 1.2LCCh. 18.1 - Prob. 1.3LCCh. 18.3 - Prob. 2.1LCCh. 18.3 - Prob. 2.2LCCh. 18.3 - Prob. 2.3LCCh. 18.3 - Prob. 2.4LCCh. 18.5 - Prob. 3.1LCCh. 18.5 - Prob. 3.2LCCh. 18.5 - Prob. 3.3LC
Ch. 18.5 - Prob. 3.4LCCh. 18.7 - Prob. 4.1LCCh. 18.7 - Prob. 4.2LCCh. 18.7 - Prob. 4.3LCCh. 18.7 - Prob. 4.4LCCh. 18.9 - Prob. 5.1LCCh. 18.9 - Prob. 5.2LCCh. 18.9 - Prob. 5.3LCCh. 18.11 - Prob. 6.1LCCh. 18.11 - Prob. 6.2LCCh. 18.11 - Prob. 6.3LCCh. 18.11 - Prob. 6.4LCCh. 18 - Prob. 1FPCh. 18 - Prob. 2FPCh. 18 - Prob. 3FPCh. 18 - Prob. 4FPCh. 18 - Prob. 5FPCh. 18 - Prob. 6FPCh. 18 - Prob. 7FPCh. 18 - Prob. 8FPCh. 18 - Prob. 9FPCh. 18 - Prob. 10FPCh. 18 - Prob. 11FPCh. 18 - Prob. 12FPCh. 18 - Prob. 13CAPCh. 18 - Prob. 14CAPCh. 18 - Prob. 15CAPCh. 18 - Prob. 16CAPCh. 18 - Prob. 17CAPCh. 18 - Prob. 18CAPCh. 18 - Prob. 19CAPCh. 18 - Prob. 20CAPCh. 18 - Prob. 21CAPCh. 18 - Prob. 22CAPCh. 18 - Prob. 23CAPCh. 18 - Prob. 24CAPCh. 18 - Prob. 25CAPCh. 18 - Prob. 26CAPCh. 18 - Prob. 27CAPCh. 18 - Prob. 28PRCh. 18 - Prob. 29PRCh. 18 - Prob. 30PRCh. 18 - Prob. 31PRCh. 18 - Prob. 32PR
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