a.
To check: If the expected counts are large enough for using the chi-square distribution. Also, compute the degree of freedom
a.
Answer to Problem 6E
The degree of freedom is 2
Explanation of Solution
Given:
Total selected balls are 18, 18 and 2.
Total balls are 200.
The test statistic is 4.0389
Formula used:
The formula to compute the degree of freedom is:
Degree of freedom = Number of categories - 1
The expected counts could be computed as:
From above calculations, it is clear that the expected counts are above 5.
The degree of freedom is:
Degree of freedom is 3-1 = 2
b.
To construct: The figure that shows the p -value
b.
Explanation of Solution
Graph:
The figure showing P -value is constructed as:
c.
To find: The P -value using table and calculator.
c.
Answer to Problem 6E
The P -value is 0.133.
Explanation of Solution
Calculation:
The P -value at 2 degree of freedom using table is:
Now, the P -value using Ti-83 calculator is:
Thus, the P -value is 0.133.
d.
To draw: The conclusion about the claim of the company
d.
Answer to Problem 6E
There is insufficient evidence to reject the claim of the company.
Explanation of Solution
Calculation:
The P -value is above the significance level. The null hypothesis cannot be rejected. Thus, there is insufficient evidence to reject the claim of the company.
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
Fundamentals of Statistics (5th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Introductory Statistics
Basic Business Statistics, Student Value Edition
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