5 m 6 tion 7 K Assume that 20.4% of people have sleepwalked. Assume that in a random sample of 1535 adults, 331 have sleepwalked. a. Assuming that the rate of 20.4% is correct, find the probability that 331 or more of the 1535 adults have sleepwalked. b. Is that result of 331 or more significantly high? c. What does the result suggest about the rate of 20.4%? than the probability cutoff that corresponds to a significant event, which is because the probability of this event is c. What does the result suggest about the rate of 20.4%? OA. Since the result of 331 adults that have sleepwalked is significantly high, it is strong evidence against the assumed rate of 20.4%. OB. Since the result of 331 adults that have sleepwalked is not significantly high, it is not strong evidence supporting the assumed rate of 20.4%. OC. Since the result of 331 adults that have sleepwalked is not significantly high, it is strong evidence against the assumed rate of 20.4%. OD. Since the result of 331 adults that have sleepwalked is significantly high, it is not strong evidence against the assumed rate of 20.4%. OE. The results do not indicate anything about the scientist's assumption. OF. Since the result of 331 adults that have sleepwalked is not significantly high, it is not strong evidence against the assumed rate of 20.4%.
5 m 6 tion 7 K Assume that 20.4% of people have sleepwalked. Assume that in a random sample of 1535 adults, 331 have sleepwalked. a. Assuming that the rate of 20.4% is correct, find the probability that 331 or more of the 1535 adults have sleepwalked. b. Is that result of 331 or more significantly high? c. What does the result suggest about the rate of 20.4%? than the probability cutoff that corresponds to a significant event, which is because the probability of this event is c. What does the result suggest about the rate of 20.4%? OA. Since the result of 331 adults that have sleepwalked is significantly high, it is strong evidence against the assumed rate of 20.4%. OB. Since the result of 331 adults that have sleepwalked is not significantly high, it is not strong evidence supporting the assumed rate of 20.4%. OC. Since the result of 331 adults that have sleepwalked is not significantly high, it is strong evidence against the assumed rate of 20.4%. OD. Since the result of 331 adults that have sleepwalked is significantly high, it is not strong evidence against the assumed rate of 20.4%. OE. The results do not indicate anything about the scientist's assumption. OF. Since the result of 331 adults that have sleepwalked is not significantly high, it is not strong evidence against the assumed rate of 20.4%.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Understanding Probability and Sleepwalking Rates**
In a study, researchers assume that 20.4% of people have sleepwalked. They analyze a random sample of 1,535 adults, finding that 331 have sleepwalked. The analysis involves several steps:
**a. Calculating Probability:**
- The task is to find the probability that 331 or more out of the 1,535 adults have sleepwalked, assuming the rate of 20.4% is accurate.
**b. Significance of the Result:**
- Determine if the result of 331 is significantly higher than expected based on the assumed rate.
**c. Implications on the Assumed Rate:**
Options provided to assess what the data suggests regarding the assumed rate of 20.4%:
A. If 331 is significantly high, it implies strong evidence against the 20.4% rate.
B. If 331 is not significantly high, it does not strongly support the 20.4% rate.
C. If 331 is not significantly high, it provides strong evidence for the 20.4% rate.
D. If 331 is significantly high, it does not strongly dispute the 20.4% rate.
E. Lack of indication from the results about the scientist's assumption.
F. If 331 is not significantly high, it does not strongly argue against the 20.4% rate.
**Blank Fields:**
- Two dropdowns prompt selection related to probability, to assess if the event's probability is higher or lower than the cutoff for significance.
This statistical evaluation helps determine whether the observed data aligns with or disputes the originally assumed sleepwalking rate in the population.
Transcribed Image Text:**Sleepwalking Statistics Analysis**
Assume that 20.4% of people have sleepwalked. Consider a random sample of 1535 adults, among whom 331 have sleepwalked. Determine the validity of this data based on the assumed sleepwalking rate of 20.4%.
**a. Probability Calculation**
Calculate the probability that 331 or more out of 1535 adults have sleepwalked, assuming the 20.4% rate is accurate. (Round to four decimal places as necessary.)
**b. Significance Evaluation**
Assess if the result of 331 or more is significantly high by comparing the probability of this event to the probability threshold for a significant event.
**c. Interpretation of Results**
Choose the most appropriate interpretation based on the data:
- **A.** A significantly high result of 331 adults sleepwalking suggests strong evidence against the assumed rate of 20.4%.
- **B.** If the result is not significantly high, it does not strongly support the assumed rate of 20.4%.
- **C.** If the result is not significantly high, it offers strong evidence against the assumed rate of 20.4%.
Expert Solution
Step 1
20.4% of people have sleep walked :
Random samples = 1535 adults
335 have sleep walked :
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Solved in 5 steps with 1 images
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