Read

  • Jaggia Chapter 8, sections 8.1 and 8.3. 
  • Slides found in the T1: Confidence Interval Estimation Module, independence discussion found in Section 1; model concept answer found in Section 2

Provide a word document that answers the following questions as concisely as possible (half a page maximum).

Nintendo wants to know whether MarioKart is popular amongst students who have access to gaming devices.  A manager collected a random sample of 1,000 students with access to gaming devices.  He reports that 35% of students in the sample like MarioKart.  He correctly reports that the margin of error for a confidence interval estimate for the proportion of students (with access to gaming devices) who like MarioKart is 3 percentage points at a 95% confidence level.

i) State the confidence interval estimate for the proportion of students (with access to gaming devices) who like MarioKart, with confidence of 95%

ii) Provide a one sentence interpretation of your answer to i)

iii)  In the context of this example, explain what is meant by “a confidence of 95%”?

iv) Why are the student observations plausibly independent?

This exercise should be your own unaided work.  Feel free to post general questions to the discussion board/ answer student queries to earn participation credit e.g. “What is a percentage point?”

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