Question: A multiple choice test has four possible responses. To test whether this question was answered correctly by more people than would be expected due to

  1. A multiple choice test has four possible responses. To test whether this question was answered correctly by more people than would be expected due to chance, a hypothesis test of 400 student answers is conducted.What is the null and alternative hypothesis (in words and symbols)
  2. If 218 of the 400 students got the correct response, what is the p-value? Explain your method and TI commands.
  3. What decision is made if a significance level of 0.01 is used?
  4. Based on this decision, what would you conclude about the test question?

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