Concept explainers
a.
To state: The appropriate hypotheses.
a.
Explanation of Solution
Given:
There are 10 random digits and the proportion of selecting each digit is same.
Formula used:
The formula to compute the test statistic is
Calculation:
The proportion of selecting one digit is:
Using the provided information, the null and alternative hypotheses are:
b.
To find: The test statistic, p -value and draw the conclusion.
b.
Answer to Problem 14E
There is insufficient evidence to reject the claim regarding the random digits claim.
Explanation of Solution
Calculation:
The calculation for test statistic is done as:
Observed value |
|
|
| |
22 | 20 | 2 | 4 | 0.2 |
21 | 20 | 1 | 1 | 0.05 |
24 | 20 | 4 | 16 | 0.8 |
15 | 20 | -5 | 25 | 1.25 |
17 | 20 | -3 | 9 | 0.45 |
20 | 20 | 0 | 0 | 0 |
19 | 20 | -1 | 1 | 0.05 |
21 | 20 | 1 | 1 | 0.05 |
18 | 20 | -2 | 4 | 0.2 |
23 | 20 | 3 | 9 | 0.45 |
|
The test statistic is:
The degree of freedom is:
Degree of freedom = Number of categories -1 = 10-1 =9
The p-value using chi-square table at 9 degree of freedom is 0.941
The p -value is above significance level. The null hypothesis does not get rejected. Thus, there is insufficient evidence to reject the claim regarding the random digits claim.
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Introductory Statistics
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Introductory Statistics (10th Edition)
STATS:DATA+MODELS-W/DVD
Introductory Statistics (2nd Edition)
Fundamentals of Statistics (5th Edition)
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