Concept explainers
(a)
To perform: an appropriate test to at
Given Information:
The number of slots in the American roulette wheel =
The number of red slots =
The sample size
In a random sample of
Concept used: Describe the null hypothesis and alternate hypothesis. On the basis of test statistics reject or accept the null hypothesis.
Solution: Let
The value of
The sample size
In a random sample of
Forming the hypothesis:
Describe the null hypothesis and the alternate hypothesis as follows
The null hypothesis
Rewrite the null hypothesis as
The alternate hypothesis
Find the sample proportion
Formula used:
Formula used:
Describe the test statistics
Calculations:
The value of test statistics
Interpretation:
Use the test statistics to find the P- value. The P- value gives the evidence whether to accept or reject the null hypothesis.
The alternate hypothesis is
Using tables, write the value at
Result:
Reject null hypothesis if the level of significance is more than P- value.
Here level of significance
Reject null hypothesis
Therefore, alternate hypothesis is true
This implies that there is convincing evidence to prove that the wheel is unfair.
(b)
To check: if the data at
Given Information:
The casino manager uses the data to produce
The manager gets confidence interval
Proof:
The number of slots in the American roulette wheel =
The number of red slots =
Let
The value of
The
The level of significance is
Find the value of test statistics as
Formula used:
Interpretation:
Reject null hypothesis if the level of significance is less than P- value.
Here level of significance
Reject null hypothesis
Therefore, alternate hypothesis is true
Result:
This implies that there is convincing evidence that wheel is unfair at
The same evidence would lead to contradiction at
Therefore, the casino manager is right in saying that
Chapter 9 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
STATS:DATA+MODELS-W/DVD
Statistics for Business and Economics (13th Edition)
Introductory Statistics
Essentials of Statistics (6th Edition)
Fundamentals of Statistics (5th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
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