Question

A scientist has hypothesized that there is a significant positive link between amiability and the number of pillows that one has around them when falling asleep. The recruitment was conducted using a research participant pool, controlling for the following Age, Sleep Time, Gender, Geography (Latitude). The dataset obtained by the researchers had P = 0.04 on the Shapiro-Wilk test. A. State the alternate and Null hypothesis B. Explain, briefly the reasoning behind administering the Shapiro-Wilk Test? What does a violation/failure of the test imply? C. What would be the preferred variant of the analysis? Give reasons as to why this would be the better choice. D. What might be a variable that the doctor has not controlled for which may influence the results of the study?

          A scientist has hypothesized that there is a significant
positive link between amiability and the number of pillows that one
has around them when falling asleep. The recruitment was conducted
using a research participant pool, controlling for the following
Age, Sleep Time, Gender, Geography (Latitude). The dataset obtained
by the researchers had P = 0.04 on the Shapiro-Wilk test.
A. State the alternate and Null hypothesis
B. Explain, briefly the reasoning behind administering the
Shapiro-Wilk Test? What does a violation/failure of the test
imply?
C. What would be the preferred variant of the analysis? Give
reasons as to why this would be the better choice.
D. What might be a variable that the doctor has not controlled
for which may influence the results of the study?

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Added by Patrick T.

Essential Statistics: Exploring the World through Data

Robert Gould, Colleen Ryan, Rebecca Wong 3rd Edition

Chapter 10

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Solved by Expert Nick Johnson

01/30/2022

Step 1

The null hypothesis (H0) and alternate hypothesis (H1) are as follows: \(H_0\): There is no significant positive link between amiability and the number of pillows one has around them when falling asleep. \(H_1\): There is a significant positive link between Show more…

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A scientist has hypothesized that there is a significant positive link between amiability and the number of pillows that one has around them when falling asleep. The recruitment was conducted using a research participant pool, controlling for the following Age, Sleep Time, Gender, Geography (Latitude). The dataset obtained by the researchers had P = 0.04 on the Shapiro-Wilk test. A. State the alternate and Null hypothesis B. Explain, briefly the reasoning behind administering the Shapiro-Wilk Test? What does a violation/failure of the test imply? C. What would be the preferred variant of the analysis? Give reasons as to why this would be the better choice. D. What might be a variable that the doctor has not controlled for which may influence the results of the study?

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Transcript

00:01 Hello, so here in part 8, we have that a kai square test of independence is going to be inappropriate for this data set because the categorical variable fatigued, yes or no, and two or more samples are from the sleep aid, alcohol, dark room, over the count, counter sleep aid, prescription sleep aid, and white noise.

00:21 So therefore, the test of independence is going to be inappropriate.

00:25 And then for part b, we can combine the groups here, the alcohol and dark room and prescription, sleep aid, and white noise.

00:34 And we get our new table then.

00:35 So we have fatigued.

00:43 And then either yes or no.

00:48 And then we have a plus d.

00:53 And then we have over -the -counter sleep aid.

00:55 Over -the -counter sleep aid.

01:01 And then p -plus -w.

01:04 And then we have the total.

01:06 So we have the total.

01:06 So we have the.

01:06 Column here for total, and then we have yes, no, and then we'd have the total row down here.

01:18 So filling in our table, we have here 25, 20, and then a total of 45, 45, and then here we'd have 35 and 6 for a total of 41, and now here we have 22 and 6 for a total of 28, and here.

01:41 We have 82 and 32 for a total of 114...

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