Homework 3 Statistics for the Social Sciences Directions: Answer the following questions on a separate piece of paper. You do not have to re-write the question. However, make sure to show ALL...

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Homework 3
Statistics for the Social Sciences
Directions: Answer the following questions on a separate piece of paper. You do not have to re-write the question. However, make sure to show ALL necessary work for complete credit.
T-test Section
1. You collect data on parents and non-parents of children under two. You predict that parents will report less sleep than non-parents. Complete the following t-test procedures listed below. For the purpose of this t-test, make sure to use an alpha of .05
a. Create a research and null hypothesis for your prediction on parental status (non-parent / parent) and hours of sleep.
b. Use the data to calculate an independent samples t-statistic:
Non-ParentParent of Child Under 2
= 7.2 hours of sleep = 5.7 hours of sleep
S21 = 4.0S22 = 1.0
N1 = 42N2 = 40
c. Use Appendix C: Critical T-distribution to determine your critical value for t
d. Based on your results, state whether your p-value is less than or greater than alpha of .05
e. State whether you accept or reject the null hypothesis and write a sentence that interprets your findings about whether or not parents get less sleep than non-parents.
ANOVA Section
1. Create a research hypothesis and null hypothesis for the following variables
a. Social Class (Lower, Middle, Upper) and number of evictions
b. Age groups (18-30, 31-40, 41-55, 65+) and the number of injuries in the past week
c. Type of Diet (Omnivore, Vegetarian, Vegan) and the number of days feeling ill in past month
2.
a. Create a research hypothesis and null hypothesis for level of health (poor, fair, good) and number of nights with poor sleep in the last 30 days. For this problem use an alpha of .01
Poor HealthFair HealthGood Health
3041
1510
1074
1522
1562
3
N1=5N2=5N3=6
1=172= 43= 2
S1 = 7.6S2= 2.5S3= 1.4
S21=57.5S22=6.5S23=2
y1 = 85y2 = 20y3= 12
y21 = 1,675y22 = 106y23= 34
(Grand Mean) = 8
b. Use the data to calculate an F-statistic for the ANOVA
c. Use Appendix E: Critical f-distribution to determine your critical value for f
d. State whether your p-value is less than or greater than alpha
e. State whether you accept or reject the null hypothesis and write a sentence that interprets your findings on health and number of poor sleep nights.
Cross-Tabulation and Chi-Square Section
1. A piano instructor suspects that their “Intro to Music Theory” course is most enjoyed by those who are new or “novice” to music. In this case, the instructor believes the independent variable is “experience level” and this affects the dependent variable which is “class enjoyment”. They conduct a survey of their class to find out if this is true and their data is provided below. Convert the data into a cross-tabulation table and include column percentages.
Experience Level
Class Enjoyment
Intermediate
Mid
Novice
Mid
Novice
High
Intermediate
Low
Advanced
Low
Intermediate
Low
Novice
Mid
Intermediate
Mid
Intermediate
Low
Intermediate
High
Advanced
Mid
Advanced
High
Novice
Mid
Novice
High
Advanced
Mid
Novice
High
Novice
High
Intermediate
Low
Novice
Mid
Novice
Mid
Advanced
Mid
Advanced
Low
Novice
Low
Intermediate
Mid
Advanced
Low
Intermediate
Mid
2. Describe the major pattern between experience level and class enjoyment. Use the column percentages to support your answer. If applicable, state the direction of the relationship.
3. Calculate the chi-square and determine significance at an alpha of .01 for the cross-tab you created. Make sure to:
a. Create a research and null hypothesis
b. Calculate the chi-square statistic
c. Use appendix D Critical Chi-Square distribution to determine your critical chi-square.
d. State whether your p-value is less than or greater than alpha
e. State whether you reject the null hypothesis
f. State whether there is a relationship between the two variables
Answered Same DayMay 09, 2021

Solution

Rajeswari R answered on May 09 2021
27 Votes

Homework 3
Statistics for the Social Sciences
Directions: Answer the following questions on a separate piece of paper. You do not have to re-write the question. However, make sure to show ALL...

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