An occupant traffic study was carried out to aid in the remodeling of a large building on a university campus. The building has five entrances, and the choice of entrance was recorded for a random sample of 300 persons entering the building. The results obtained are given in the following table:

Test the null hypothesis that the five entrances are equally used by setting a equal to .05. Find a 95 percent confidence interval for the proportion of all people who use Entrance III.

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Entrance IV 40 91 97 42 30