PRACTICE OF STATISTICS F/AP EXAM
6th Edition
ISBN: 9781319113339
Author: Starnes
Publisher: MAC HIGHER
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Question
Chapter 11.1, Problem 6E
a)
To determine
To find the degrees of freedom.
a)
Expert Solution
Answer to Problem 6E
The df = 2
Explanation of Solution
Given:
| Color | Observed Count | Frequency | Expected count |
| Red | 85 | 0.47 | 94.74 |
| Black | 99 | 0.47 | 94.74 |
| Green | 16 | 0.05 | 10.53 |
| Total | 200 | 1.00 | 200 |
The chi-square test statistic = 4.04
Calculation:
The expected counts are large enough to use a chi-square distribution if all expected counts are at least 5. This condition is satisfied.
The degrees of freedom = df = c-1 = 3-1 = 2
b)
To determine
To find the p-value using table and technology.
b)
Expert Solution
Answer to Problem 6E
The p-value = 0.1108
Explanation of Solution
Given:
| Color | Observed Count | Frequency | Expected count |
| Red | 85 | 0.47 | 94.74 |
| Black | 99 | 0.47 | 94.74 |
| Green | 16 | 0.05 | 10.53 |
| Total | 200 | 1.00 | 200 |
The chi-square test statistic = 4.04
The degrees of freedom = 2
Calculation:
The p-value using table for df = 2 is,
0.10 < P < 0.15
The excel formula, =CHIDIST(4.40,2)
P-value = 0.1108
c)
To determine
To explain the conclusion.
c)
Expert Solution
Answer to Problem 6E
There is not sufficient evidence to reject the claim about the specified probability distribution.
Explanation of Solution
Given:
| Color | Observed Count | Frequency | Expected count |
| Red | 85 | 0.47 | 94.74 |
| Black | 99 | 0.47 | 94.74 |
| Green | 16 | 0.05 | 10.53 |
| Total | 200 | 1.00 | 200 |
The chi-square test statistic = 4.04
The degrees of freedom = 2
The p-value = 0.1108
Calculation:
Here, p-value > 0.05, fail to reject H0.
There is not sufficient evidence to reject the claim about the specified probability distribution.
Chapter 11 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Ch. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Prob. 8ECh. 11.1 - Prob. 9ECh. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - Prob. 36ECh. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.2 - Prob. 46ECh. 11.2 - Prob. 47ECh. 11.2 - Prob. 48ECh. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Prob. 64ECh. 11 - Prob. R11.1RECh. 11 - Prob. R11.2RECh. 11 - Prob. R11.3RECh. 11 - Prob. R11.4RECh. 11 - Prob. R11.5RECh. 11 - Prob. T11.1SPTCh. 11 - Prob. T11.2SPTCh. 11 - Prob. T11.3SPTCh. 11 - Prob. T11.4SPTCh. 11 - Prob. T11.5SPTCh. 11 - Prob. T11.6SPTCh. 11 - Prob. T11.7SPTCh. 11 - Prob. T11.8SPTCh. 11 - Prob. T11.9SPTCh. 11 - Prob. T11.10SPTCh. 11 - Prob. T11.11SPTCh. 11 - Prob. T11.12SPTCh. 11 - Prob. T11.13SPT
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