Concept explainers
(a)
To find: the significant is the observed difference and carries out an appropriate test to support the answer.
(a)
Answer to Problem 21E
Not significant
Explanation of Solution
Given:
Formula used:
Calculation:
The hypotheses:
The sample proportion is
The test statistic:
The P-value is
If the P-value is lesser than the significance level, therefore reject the null hypothesis:
There is not sufficient proof to help the claim of a difference.
(b)
To Explain: the Type I and Type II error in this setting and find the more serious one.
(b)
Answer to Problem 21E
Type II error
Explanation of Solution
Type I error: Reject the null hypothesis
Consequence: There is no enough difference in both groups, where it displays that there is significance. Therefore the design is random, where it displays no random.
Type II error: Failing to reject the null hypothesis
Consequence: There is a enough difference in both groups, where it displays that there is no enough difference. Therefore the design is not random, when it displays random.
Type II error is worse, the reason is that it would be assumed that the people were arbitrary assigned to every group and every group seems to be the same, where it is not the case.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics for Business and Economics (13th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
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