MATLAB: A Practical Introduction to Programming and Problem Solving
5th Edition
ISBN: 9780128154793
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
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Chapter 11, Problem 2E
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Children develop different patterns of attachment based on interactions with their caregivers at young age (Wikipedia). Certain
study attempt to find the association between Child Care and Attachment Pattern Classification. Below table summarizes the
collected data.
Hours in Child Care
Low
Moderate
High
Attachment Pattern
(0-3 hours)
(4-19 hours)
(20-54 hours)
Secure
24
35
5
Anxious
11
10
8
Carryout an appropriate test to see if there is an association between amount of time spend on Child Care and Attachment
Pattern of the children.
6. In order to answer the same research question as in previous parts in this problem, can we do a hypothesis test for
comparing two independent proportions while keeping the existing categories as they are? Explain your answer rather than
simply saying "yes" or "no".
This questions has multiple subparts. For your convenience, the description of the problem is provided with each component.
Children develop different patterns of attachment based on interactions with their caregivers at young age (Wikipedia). Certain
study attempt to find the association between Child Care and Attachment Pattern Classification. Below table summarizes the
collected data.
Hours in Child Care
Low
Moderate
High
Attachment Pattern
(0-3 hours)
(4-19 hours)
(20-54 hours)
Secure
24
35
5
Anxious
11
10
8
Carryout an appropriate test to see if there is an association between amount of time spend on Child Care and Attachment
Pattern of the children.
1. The null hypothesis is [Select]
and the alternative hypothesis is [Select]
[Select]
2. The test statistic is
3. Degrees of freedom
4. P-value is [Select]
True proportion of children with secure pattern when low number of hours in child care and true proportion of children with anxious pattern when low number of hours in child
Hours…
Does money buy happiness? This is an age-old question. A random sample of 1993 subjects were asked to rate their happiness
(Not too happy, Pretty happy, or Very happy) and also report their level of income (Above average, average, below average).
The table of the observations is presented below.
Income
Not too happy Pretty happy
Very happy
Total
Above Average
26
233
164
423
Average
117
473
293
883
Below Average
172
383
132
687
Total
315
1089
589
1993
1. Which variable is the response and which is the explanatory variable? [Select]
2. What are the null and alternative hypotheses for testing if there is a relationship between level of income and happiness?
[Select]
and H₁ is [Select]
Ho is
3. What is the chi-square test statistic?
[Select]
4. Which cell contributed the most to the overall chi-square test statistic? [Select]
5. What are the degrees of freedom? [Select]
6. What is the decision about Ho? [Select]
Chapter 11 Solutions
MATLAB: A Practical Introduction to Programming and Problem Solving
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