Math Problem Statement
The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Comple
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P(x)
0.163
0.389
0.287
0.128
0.027
0.006
Find the probability of getting exactly 4 sleepwalkers among 5 adults. 0.027 (Type an integer or a decimal. Do not round.)
Find the probability of getting 4 or more sleepwalkers among 5 adults.
0.033 (Type an integer or a decimal. Do not round.)
c. Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result fro
A. Since the probability of getting 4 sleepwalkers is the result from part (a), this is the relevant probability.
B. Since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability.
C. Since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability.
У D.
Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability.
d. Is 4 a significantly high number of 4 sleepwalkers among 5 adults? Why or why not? Use 0.05 as the threshold for a significant event. A. Yes, since the appropriate probability is less than 0.05, it is a significantly high number.
B. No, since the appropriate probability is less than 0.05, it is not a significantly high number.
C. Yes, since the appropriate probability is greater than 0.05, it is a significantly high number.
D. No, since the appropriate probability is greater than 0.05, it is not a significantly high number.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Significance Testing
Formulas
P(x or more) = P(4) + P(5)
Significance threshold = 0.05
Theorems
Probability Theory
Statistical Significance
Suitable Grade Level
Grades 9-12
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