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A statistics teacher predicts that the distribution of grades on the final exam will be 25% A's, 30% B's, 35% C's, and 10% D's. The

A statistics teacher predicts that the distribution of grades on the final exam will be 25% A's, 30% B's, 35% C's, and 10% D's. The actual distribution of grades on the final exam for 20 students is as follows. Using a 0.05 level of significance, is the statistics teacher's prediction correct?

Grade Number of Students
A 7
B 7
C 5
D 1
  • Which test are you running?
  • What is the null hypothesis?
  • What is the alternative hypothesis?
  • What is the test statistic? Round the answer to two decimal places.
  • What is the p-value? Round the answer to three decimal places.
  • What is the conclusion when you compare the p-value and the level of significance (alpha)?
  • What is the conclusion based on the original claim?

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