a.
To explain: The null and alternative hypotheses for a significance test.
a.
Explanation of Solution
Given:
The observed value ( Oi ) is:
Black Parents ( B ) | Hispanic Parents ( H ) | White Parents ( W ) | |
Excellent | 12 | 34 | 22 |
Good | 69 | 55 | 81 |
Fair | 75 | 61 | 60 |
Poor | 24 | 24 | 24 |
Don’t know | 22 | 28 | 14 |
Total | 202 | 202 | 201 |
To test whether there is a difference in the distributions of opinions about how high schools are doing among black, Hispanic, and white parents.
The null and alternative hypotheses are:
b.
To find: The expected counts for the given data set.
b.
Explanation of Solution
Formula used:
The
Calculation:
From the given table,
Black Parents ( B ) | Hispanic Parents ( H ) | White Parents ( W ) | Total | |
Excellent | 12 | 34 | 22 | 68 |
Good | 69 | 55 | 81 | 205 |
Fair | 75 | 61 | 60 | 196 |
Poor | 24 | 24 | 24 | 72 |
Don’t know | 22 | 28 | 14 | 64 |
Total | 202 | 202 | 201 | 605 |
The expected value ( Ei ), can be calculated as:
Black Parents ( B ) | Hispanic Parents ( H ) | White Parents ( W ) | |
Excellent | |||
Good | |||
Fair | |||
Poor | |||
Don’t know |
c.
To find: The chi-square statistic.
c.
Answer to Problem 30E
The test statistic value, is 22.4260.
Explanation of Solution
Formula used:
The chi-square test statistics value:
Calculation:
The chi-square statistic, can be calculated as:
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Essentials of Statistics (6th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics (13th Edition)
Introductory Statistics (2nd Edition)
Statistics for Business and Economics (13th Edition)
Elementary Statistics Using Excel (6th Edition)
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