Concept explainers
(a)
To Explain: the null and alternative hypothesis for the question of interest.
(a)
Answer to Problem 10.22E
Explanation of Solution
Given:
Student smokes | Student does not smoke | |
Both parents smoke | 400 | 1380 |
One parent smokes | 416 | 1823 |
Neither parent smokes | 188 | 1168 |
Suppose
The null hypothesis statement is that there is no connection between the variables where the alternative hypothesis statement is that there is a connection between the variable.
(b)
To find: the expected cell counts and writes a sentence that explains in simple language about expected counts are.
(b)
Answer to Problem 10.22E
Explanation of Solution
Given:
Student smokes | Student does not smoke | |
Both parents smoke | 400 | 1380 |
One parent smokes | 416 | 1823 |
Neither parent smokes | 188 | 1168 |
Formula used:
Calculation:
The row and column totals are
Student smokes | Student does not smoke | Total | |
Both parents smoke | 400 | 1380 | 1780 |
One parent smokes | 416 | 1823 | 2239 |
Neither parent smokes | 188 | 1168 | 1356 |
Total | 1004 | 4371 | 5375 |
The expected frequencies
Expected counts are the count that based on the row and column totals, when there are no connection the variables.
(c)
To find: the chi-square statistics, degree of freedom and p-value.
(c)
Answer to Problem 10.22E
Degree of freedom is 2
Explanation of Solution
Given:
Student smokes | Student does not smoke | |
Both parents smoke | 400 | 1380 |
One parent smokes | 416 | 1823 |
Neither parent smokes | 188 | 1168 |
Formula used:
Calculation:
The value of the test- statistic is
The degree of freedom is
The P-Value is the probability of getting the value of the test statistic
(d)
To Explain: the conclusion about significance.
(d)
Explanation of Solution
If the P-value is equal or less than to the significance level, then the alternative hypothesis is accepted and null hypothesis is rejected:
There is not enough evidence to help the claim that there is a connection between parent smoking habit and Student smoking.
Chapter 10 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Statistics for Business and Economics (13th Edition)
Introductory Statistics (10th Edition)
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Statistics: The Art and Science of Learning from Data (4th Edition)
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