The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first digit in a number are shown in the accompanying table. The probability distribution is now known as Benford's Law. For example, the following distribution represents the first digits in 237 allegedly fraudulent checks written to a bogus company by an employee attempting to embezzle funds from his employer.Distribution of first digits (Benford's Law) Digit 1 2 3 4 5 Probability 0.301 0.176 0.125 0.097 0.079 Digit 6 7 8 9 Probability 0.067 0.058 0.051 0.046 First digits in allegedly fraudulent checks First digit 1 2 3 4 5 6 7 8 9 Frequency 36 32 45 26 23 36 15 17 7 1.) Because these data are meant to prove that someone is guilty of fraud, what would be an appropriate level of significance when performing a goodness-of-fit test?Use α= _____?2. What is the test statisticχ2 = _____? 0 (Round to three decimal places as needed. 3.What is the P-value of the test P-value=_____? (Round to three decimal places as needed.)

The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first...

The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first digit in a number are shown in the accompanying table. The probability distribution is now known as Benford's Law. For example, the following distribution represents the first digits in 237 allegedly fraudulent checks written to a bogus company by an employee attempting to embezzle funds from his employer.

Distribution of first digits (Benford's Law)

Digit	1	2	3	4	5
Probability	0.301	0.176	0.125	0.097	0.079
Digit	6	7	8	9
Probability	0.067	0.058	0.051	0.046

First digits in allegedly fraudulent checks

First digit	1	2	3	4	5	6	7	8	9
Frequency	36	32	45	26	23	36	15	17	7

1.) Because these data are meant to prove that someone is guilty of fraud, what would be an appropriate level of significance when performing a goodness-of-fit test?

Use α= _____?

2. What is the test statistic

χ2 = _____?

(Round to three decimal places as needed.

3.What is the P-value of the test

P-value=_____?

(Round to three decimal places as needed.)

Jun 09, 2022

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The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first...

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The first significant digit in any number must be​ 1, 2,​ 3, 4,​ 5, 6,​ 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first...

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The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first...