Solution Found!
A researcher wanted to determine if the distribution of
Chapter 5, Problem 2CT(choose chapter or problem)
Problem 2CT
A researcher wanted to determine if the distribution of educational attainment of Americans today is different from the distribution in 2000. The distribution of educational attainment in 2000 was as follows:
Education |
Relative Frequency |
Not a high school graduate |
0.158 |
High school graduate |
0.331 |
Some college |
0.176 |
Associate’s degree |
0.078 |
Bachelor’s degree |
0.170 |
Advanced degree |
0.087 |
Source: Statistical Abstract of the United States.
The researcher randomly selects 500 Americans, learns their levels of education, and obtains the data shown in the table.Do the data suggest that the distribution of educational attainment has changed since 2000? Use the a = 0.1 level of significance
Education |
Frequency |
Not a high school graduate |
72 |
High school graduate |
159 |
Some college |
85 |
Associate’s degree |
44 |
Bachelor’s degree |
92 |
Advanced degree |
48 |
Questions & Answers
QUESTION:
Problem 2CT
A researcher wanted to determine if the distribution of educational attainment of Americans today is different from the distribution in 2000. The distribution of educational attainment in 2000 was as follows:
Education |
Relative Frequency |
Not a high school graduate |
0.158 |
High school graduate |
0.331 |
Some college |
0.176 |
Associate’s degree |
0.078 |
Bachelor’s degree |
0.170 |
Advanced degree |
0.087 |
Source: Statistical Abstract of the United States.
The researcher randomly selects 500 Americans, learns their levels of education, and obtains the data shown in the table.Do the data suggest that the distribution of educational attainment has changed since 2000? Use the a = 0.1 level of significance
Education |
Frequency |
Not a high school graduate |
72 |
High school graduate |
159 |
Some college |
85 |
Associate’s degree |
44 |
Bachelor’s degree |
92 |
Advanced degree |
48 |
ANSWER:
Answer:
Step 1
Education |
Relative Frequency |
Not a high school graduate |
0.158 |
High school graduate |
0.331 |
Some college |
0.176 |
Associate’s degree |
0.078 |
Bachelor’s degree |
0.17 |
Advanced degree |
0.087 |
The Hypotheses can be expressed as
H0 : Educational attainment is the same today as 2000
H1 : Educational attainment has changed since 2000.
n = 500, is the relative frequency
Use the = 0.1 level of significance
Education |
Frequency ( |
Expected Frequency ( |
Not a high school graduate |
72 |
79 |
High school graduate |
159 |
165.5 |
Some college |
85 |
88 |
Associate’s degree |
44 |
39 |
Bachelor’s degree |
92 |
85 |
Advanced degree |
48 |
43.5 |