[EX14-82] A patient was given two different types of vitamin pills, one that contained iron and one that did not contain iron. The patient was instructed to take the pills on alternate days. To avoid having to remember which pill to take on a particular day, the patient mixed all of the pills together in a large bottle. Each morning the patient took the first pill that came out of the bottle. To see whether this was a random process, for 25 days the patient recorded an “I” each morning that he took a vitamin with iron and an “N” for no iron.

Is there sufficient reason to reject the null hypothesis that the vitamins were taken in random order at the 0.05 level of significance?

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Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Type II NIINNNNNNNIINNIN