(Step-by-Step) In a February 2005 Harris Poll, 769 of 1010 randomly selected adults said that they always wear a seat belt while driving or riding in a car. These


Question: In a February 2005 Harris Poll, 769 of 1010 randomly selected adults said that they always wear a seat belt while driving or riding in a car. These adults were randomly selected from the population of all adult in the U.S.

  1. What proportion of the adults in this sample said that they always wear a seat belt while driving or riding in a car? Is this number a parameter or a statistic?
  2. Based on the information given, do you know what proportion of all adults claim they always wear a seat belt while driving or riding in a car? Is this proportion a parameter or a statistic?
  3. Find the margin of error for a 95% confidence interval for the proportion of all adults who claim they always wear their seat belt while driving or riding in a car.
  4. Determine the 95% confidence interval for the proportion of all adults who claim they always wear their seat belt while driving or riding in a car. Express your answer by writing a sentence interpreting the confidence interval in this context.
  5. Is it reasonable to assume that 75% of all adults claim to wear a seat belt while driving or riding in a car? Is it reasonable to assume that 85% of all adults claim to wear a seat belt while driving or riding in a car? Explain. Base your explanation on the information given in this problem and your answer to part (d).

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