Concept explainers
(a)
To find out what is the alternative hypothesis.
(a)
Answer to Problem 31E
Explanation of Solution
It is given in the question that in a drawer are two coins and they look the same but one coin produces heads
(b)
To explain what would you decide given that the outcome of your spin is tail and what if it were heads.
(b)
Answer to Problem 31E
For tails: We reject the null hypothesis.
For heads: We fail to reject the null hypothesis.
Explanation of Solution
It is given in the question that in a drawer are two coins and they look the same but one coin produces heads
The
(c)
To find out how large is
(c)
Answer to Problem 31E
Explanation of Solution
It is given in the question that in a drawer are two coins and they look the same but one coin produces heads
As we know that
(d)
To explain how large is the power of the test.
(d)
Answer to Problem 31E
Explanation of Solution
It is given in the question that in a drawer are two coins and they look the same but one coin produces heads
As we know that the power is the probability of rejecting the null hypothesis when the null hypothesis is false. So, we have,
(e)
To explain how could you lower the probability of a Type I error ad increase the power of the test at the same time.
(e)
Explanation of Solution
It is given in the question that in a drawer are two coins and they look the same but one coin produces heads
Thus, we could lower the probability of a Type I error ad increase the power of the test at the same time as the probability of a type I error will decrease and the power will increase, if we spin the coin more than once and then base our decision (rejecting or failing to reject the null hypothesis) on the proportion of heads.
Chapter 21 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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