In a sample of 22 people, 11 of them (50%) prefer Product X over all other similar products.  Researchers would like to know whether more than 45% of all customers prefer Product X over all other similar products.   Can a theoretical approach be used to conduct this statistical analysis? Yes because the sample has at least 10 successes and 10 failures. No, because the sample does not have at least 10 successes and 10 failures. No, because there is a sample statistic and a sample size. Yes, because the sample size is more than 20.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 26E
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In a sample of 22 people, 11 of them (50%) prefer Product X over all other similar products.  Researchers would like to know whether more than 45% of all customers prefer Product X over all other similar products.  

Can a theoretical approach be used to conduct this statistical analysis?

  • Yes because the sample has at least 10 successes and 10 failures.
  • No, because the sample does not have at least 10 successes and 10 failures.
  • No, because there is a sample statistic and a sample size.
  • Yes, because the sample size is more than 20.
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