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Survey 40 people and ask them this question: “What is your favorite soft drink?” You record...

Survey 40 people and ask them this question: “What is your favorite soft drink?” You record your results and realize that 10 of those people chose Dr. Pepper. You calculated your sample proportion for the 10 individuals who chose Dr. Pepper, and standard error. The following are your results:

Proportion: 0.25

Standard Error: 0.0684

You then ask a friend what percentage of people do you think would say that Dr. Pepper is their favorite soft drink? You friend claims that 20% of surveyers will choose Dr. Pepper.

  1. What are the appropriate null and alternative hypotheses to test the claim made by the person in your friend?
  2. What is the value of the test statistic? SHOW ALL CALCULATIONS.
  3. What is the p-value for the test? SHOW HOW YOU GOT THIS VALUE.
  4. What is your conclusion regarding the “claim” this person made? GIVE THE FULL CONCLUSION, INCLUDING A “REJECT” or “DO NOT REJECT” STATEMENT AND THE MEANING OF THE CONCLUSION.  
Math   Statistics-And-Probability   
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