Question: The Fibonacci sequence is a famous sequence of numbers whose elements commonly occur in nature. The terms in the Fibonacci sequence are 1, 1, 2,

The Fibonacci sequence is a famous sequence of numbers whose elements commonly occur in nature. The terms in the Fibonacci sequence are 1, 1, 2, 3, 5, 8, 13, 21, . . . . The ratio of consecutive terms approaches the golden ratio, Ф = 1 + √5 / 2. The distribution of the first digit of the first 85 terms in the Fibonacci sequence, is as shown in the following table:

Digit Frequency 2 1 6. 4 25 16 11 5 4 4

Is there evidence to support the belief that the first digit of the Fibonacci numbers follows the Benford distribution (shown in Problem 13) at the a = 0.05 level of significance?

Digit Frequency 2 1 6. 4 25 16 11 5 4 4

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