OPENINTRO:STATISTICS
OPENINTRO:STATISTICS
4th Edition
ISBN: 9781943450077
Author: OPENINTRO
Publisher: amazon.com
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Chapter 3.2, Problem 29GP

a.

To determine

Rewrite the specified statement in the conditional probability notation.

b.

To determine

Calculate the conditional probability specified in Part (a).

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a) Let X and Y be independent random variables both with the same mean µ=0. Define a new random variable W = aX +bY, where a and b are constants. (i) Obtain an expression for E(W).
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…

Chapter 3 Solutions

OPENINTRO:STATISTICS

Ch. 3.1 - Prob. 16GPCh. 3.1 - Prob. 17GPCh. 3.1 - Prob. 18GPCh. 3.1 - Prob. 19GPCh. 3.1 - Prob. 20GPCh. 3.1 - Prob. 22GPCh. 3.1 - Prob. 23GPCh. 3.1 - Prob. 24GPCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.2 - Prob. 28GPCh. 3.2 - Prob. 29GPCh. 3.2 - Prob. 30GPCh. 3.2 - Prob. 31GPCh. 3.2 - Prob. 32GPCh. 3.2 - Prob. 33GPCh. 3.2 - Prob. 35GPCh. 3.2 - Prob. 36GPCh. 3.2 - Prob. 37GPCh. 3.2 - Prob. 38GPCh. 3.2 - Prob. 39GPCh. 3.2 - Prob. 41GPCh. 3.2 - Prob. 43GPCh. 3.2 - Prob. 45GPCh. 3.2 - Prob. 46GPCh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.3 - Prob. 49GPCh. 3.3 - Prob. 51GPCh. 3.3 - Prob. 52GPCh. 3.3 - Prob. 53GPCh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.4 - Prob. 55GPCh. 3.4 - Prob. 59GPCh. 3.4 - Prob. 62GPCh. 3.4 - Prob. 63GPCh. 3.4 - Prob. 64GPCh. 3.4 - Prob. 66GPCh. 3.4 - Prob. 67GPCh. 3.4 - Prob. 69GPCh. 3.4 - Prob. 70GPCh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.5 - Prob. 73GPCh. 3.5 - Prob. 75GPCh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3 - Prob. 39CECh. 3 - Prob. 40CECh. 3 - Prob. 41CECh. 3 - Prob. 42CECh. 3 - Prob. 43CECh. 3 - Prob. 44CECh. 3 - Prob. 45CECh. 3 - Prob. 46CECh. 3 - Prob. 47CE
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