CAIE S2 2002 June — Question 5

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2002
SessionJune
TopicHypothesis test of binomial distributions
TypeCalculate Type I error probability

5 To test whether a coin is biased or not, it is tossed 10 times. The coin will be considered biased if there are 9 or 10 heads, or 9 or 10 tails.
  1. Show that the probability of making a Type I error in this test is approximately 0.0215 .
  2. Find the probability of making a Type II error in this test when the probability of a head is actually 0.7.