Chi-square test of independence, goodness of fit
Not what you're looking for?
1) Suppose we have a multinomial population with four categories: A, B, C, and D. The null hypothesis is that the proportion of items is the same in every category. The null hypothesis is
H : p = p = p = p = .25
º ª b c d
A sample of size 300 yielded the following results.
A:85 B:95 C:50 D:70
Use a = .05 to determine whether H should be rejected. What is the p-value?
º
2) The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age. The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older.
Hours of sleep
Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total
49 or younger 38 60 77 65 240
50 or older 36 57 75 92 260
a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. What is the p-value, and what is your conclusion?
b. What is your estimate of the percentage of people who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 or more hours on weeknights?
3) The U.S. Bureau of Labor Statistics collected data on the occupation of workers 25 to 64 years old. The following table shows the number of male and female workers (in thousands) in each occupation category (Statistical Abstract of the United States: 2002).
Occupation Male Female
Managerial/professional 19079 19021
Tech./Sales/Administrative 11079 19315
Service 4977 7947
Precision production 11682 1138
Operators/fabricators/labor 10576 3482
Farming/forestry/fishing 1838 514
See attached file for full problem description.
Purchase this Solution
Solution Summary
Answers to 3 questions based on Chi-square test of independence, goodness of fit.
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.