Concept explainers
(a)
To Explain: the appropriate hypotheses for performing significance test.
(a)

Answer to Problem 27E
Explanation of Solution
Given:
Claim is proportion is more than 10%
The null hypothesis statement is that the population value is equal to the value given in the claim:
The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis statement is that the population proportion is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement is the opposite of the null hypothesis.
(b)
To Explain: the P-value using the simulation results.
(b)

Answer to Problem 27E
There is a 12% possibility of getting at least 8 left-handed students in a sample of 50 students, when the proportion of left-handed students is 0.10
Explanation of Solution
Given:
Claim is proportion is more than 10%
The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis statement is that the population proportion is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement is the opposite of the null hypothesis.
The P-value is the probability of getting the sample results or more extreme, when the null hypothesis is true.
In the dot plot, it is observed that 24 of the 200 dots are at 0.16 or to the right of 0.16.
There is a 12% possibility of getting at least 8 left-handed students in a sample of 50 students, when the proportion of left-handed students is 0.10
(c)
To Explain: the conclusion would make.
(c)

Answer to Problem 27E
There is no sufficient convincing evidence that more than 10% of the students at the school are left-handed.
Explanation of Solution
Given:
Claim is proportion is more than 10%
The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis statement is that the population proportion is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement is the opposite of the null hypothesis.
The P-value is the probability of getting the sample results or more extreme, once the null hypothesis is true.
In the dot plot, it is observed that 24 of the 200 dots are at 0.16 or to the right of 0.16.
If the P- value is smaller than the significance level
The common significance levels are
There is no sufficient convincing evidence that more than 10% of the students at the school are left-handed.
Chapter 9 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
A First Course in Probability (10th Edition)
Introductory Statistics
Elementary Statistics
Algebra and Trigonometry (6th Edition)
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