If a roulette wheel is properly balanced, the ball will land on red 18 out of 38 times or with probability 0.474. A gambler studies a roulette wheel to see if it is unbalanced and he can cheat. He observes 250 spins of the wheel and finds that the ball lands on red 111 times. At the significance level, do the data provide sufficient evidence to conclude that the wheel is unbalanced? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? ♥ Select a answerv (please enter a decimal) H?v Select an answer ♥ |(Please enter a decimal) C. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? ♥ a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 0.474 at a = 0.10, so there is not sufficient evidence to conclude that the wheel is unbalanced. O The data suggest the populaton proportion is significantly different from 0.474 at a = 0.10, so there is sufficient evidence to conclude that the wheel is unbalanced. O The data suggest the population proportion is not significantly different from 0,474 at a = 0.10, so there is sufficient evidence to conclude that the wheel is unbalanced.
If a roulette wheel is properly balanced, the ball will land on red 18 out of 38 times or with probability 0.474. A gambler studies a roulette wheel to see if it is unbalanced and he can cheat. He observes 250 spins of the wheel and finds that the ball lands on red 111 times. At the significance level, do the data provide sufficient evidence to conclude that the wheel is unbalanced? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? ♥ Select a answerv (please enter a decimal) H?v Select an answer ♥ |(Please enter a decimal) C. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? ♥ a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 0.474 at a = 0.10, so there is not sufficient evidence to conclude that the wheel is unbalanced. O The data suggest the populaton proportion is significantly different from 0.474 at a = 0.10, so there is sufficient evidence to conclude that the wheel is unbalanced. O The data suggest the population proportion is not significantly different from 0,474 at a = 0.10, so there is sufficient evidence to conclude that the wheel is unbalanced.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Question
Transcribed Image Text:If a roulette wheel is properly balanced, the ball will land on red 18 out of 38 times or with
probability 0.474. A gambler studies a roulette wheel to see if it is unbalanced and he can cheat. He
observes 250 spins of the wheel and finds that the ball lands on red 111 times. At the significance
level, do the data provide sufficient evidence to conclude that the wheel is unbalanced?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? ♥ Select amanswer
|(please enter a decimal)
H ? v Select an answer v
|(Please enter a decimal)
C. The test statistic|? v
|(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? ♥ a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ..
O The data suggest the population proportion is not significantly different from 0.474 at
Q = 0.10, so there is not sufficient evidence to conclude that the wheel is unbalanced.
O The data suggest the populaton proportion is significantly different from 0.474 at a =
0.10, so there is sufficient evidence to conclude that the wheel is unbalanced.
O The data suggest the population proportion is not significantly different from 0.474 at
a = 0.10, so there is sufficient evidence to conclude that the wheel is unbalanced.
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