We appreciate your visit to A friend gives you a coin that he claims to be a trick coin To test this idea you toss the coin 10 times and. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To calculate a confidence interval for a population proportion, several conditions must be met:
1. Randomness: The experiment should consist of independent and random trials. In this case, coin tosses are assumed to be independent, so this condition is satisfied.
2. 10% Condition: When sampling without replacement from a finite population, the sample should not exceed 10% of the population. For coin tosses, this condition is either assumed to be met or is not applicable. Hence, we consider it satisfied.
3. Large Counts (Success-Failure) Condition: This requires that both the number of successes and the number of failures be at least 10. With 10 coin tosses, there are [tex]$6$[/tex] heads (considered successes) and [tex]$4$[/tex] tails (failures). Since neither [tex]$6$[/tex] nor [tex]$4$[/tex] is at least [tex]$10$[/tex], this condition is not met.
Since the Large Counts Condition is not satisfied, the conditions for calculating a confidence interval for the population proportion are not fully met.
Thus, the correct answer is:
[tex]$$\text{No, the Large Counts Condition is not met.}$$[/tex]
1. Randomness: The experiment should consist of independent and random trials. In this case, coin tosses are assumed to be independent, so this condition is satisfied.
2. 10% Condition: When sampling without replacement from a finite population, the sample should not exceed 10% of the population. For coin tosses, this condition is either assumed to be met or is not applicable. Hence, we consider it satisfied.
3. Large Counts (Success-Failure) Condition: This requires that both the number of successes and the number of failures be at least 10. With 10 coin tosses, there are [tex]$6$[/tex] heads (considered successes) and [tex]$4$[/tex] tails (failures). Since neither [tex]$6$[/tex] nor [tex]$4$[/tex] is at least [tex]$10$[/tex], this condition is not met.
Since the Large Counts Condition is not satisfied, the conditions for calculating a confidence interval for the population proportion are not fully met.
Thus, the correct answer is:
[tex]$$\text{No, the Large Counts Condition is not met.}$$[/tex]
Thanks for taking the time to read A friend gives you a coin that he claims to be a trick coin To test this idea you toss the coin 10 times and. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
