The table below lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. When using these data to test for goodness-of-fit with the distribution described by Benford's law, identify the null and alternative hypotheses. Leading Digit Benford's Law Leading Digits of Inter-Arrival Traffic 76 Times 1 30.1%| 17.6%| 12.5%| 9.7% 7.9% 6.7% 8 5.8% | 5.1% 4.6% 3 4 5 7 9 62 29 33 19 27 28 21 22 Choose the correct answer below. O A. Ho: At least one of the proportions H,: P, = 0.301 and p2 = 0.176 and p3 = 0.125 and .. and pg = 0.046 different from the others. O B. Hn: None of the proportions are equal to the given claimed value. H,: p, = 0.301 and p, = 0.176 and pPa = 0.125 and . and pg = 0.046 OC. Ho: P, = 0.301 and p2 = 0.176 and p3 = 0.125 and .. and pg = 0.046 H,: None of the proportions are equal to the given claimed value. O D. Ho: P, = 0.301 and p2 = 0.176 and p3 = 0.125 and .. and pg = 0.046 H,: At least one of the proportions is different from the others. O E. Ho: At least one of the proportions is not equal to the given claimed value. H,:P, = 0.301 and p2 = 0.176 and p3 = 0.125 and .. and pg = 0.046 OF. Ho: P, = 0.301 and p2 = 0.176 and p3 = 0.125 and . and pg = 0.046 H,: At least one of the proportions is not equal to the given claimed value.

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Author:Amos Gilat
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The table below lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. When using these data to test for goodness-of-fit with the distribution described by Benford's
law, identify the null and alternative hypotheses.
Leading Digit
Benford's Law
Leading Digits of
Inter-Arrival Traffic
Times
1
4
6
7
8
30.1% 17.6% 12.5% 9.7%
7.9%
6.7%
5.8%
5.1%
4.6%
76
62
29
33
19
27
28
21
22
Choose the correct answer below.
O A. Ho: At least one of the proportions is different from the others.
H,: p, = 0.301 and p, = 0.176 and p3 = 0.125 and ... and pg = 0.046
B. Ho: None of the proportions are equal to the given claimed value.
H: p, = 0.301 and p, = 0.176 and p3 = 0.125 and
and pg = 0.046
...
O C. Ho: p, = 0.301 and p, = 0.176 and p3 = 0.125 and ... and pg = 0.046
H,: None of the proportions are equal to the given claimed value.
D. Ho: p, = 0.301 and p, = 0.176 and pą = 0.125 and
and
Pg = 0.046
H4: At least one of the proportions is different from the others.
E. Ho: At least one of the proportions is not equal to the given claimed value.
H1: p, = 0.301 and
P2
= 0.176 and p3 = 0.125 and ... and
Pg
= 0.046
O F. Ho: p, = 0.301 and p, = 0.176 and p3 = 0.125 and
and pa = 0.046
H4: At least one of the proportions is not equal to the given claimed value.
Transcribed Image Text:The table below lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. When using these data to test for goodness-of-fit with the distribution described by Benford's law, identify the null and alternative hypotheses. Leading Digit Benford's Law Leading Digits of Inter-Arrival Traffic Times 1 4 6 7 8 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% 76 62 29 33 19 27 28 21 22 Choose the correct answer below. O A. Ho: At least one of the proportions is different from the others. H,: p, = 0.301 and p, = 0.176 and p3 = 0.125 and ... and pg = 0.046 B. Ho: None of the proportions are equal to the given claimed value. H: p, = 0.301 and p, = 0.176 and p3 = 0.125 and and pg = 0.046 ... O C. Ho: p, = 0.301 and p, = 0.176 and p3 = 0.125 and ... and pg = 0.046 H,: None of the proportions are equal to the given claimed value. D. Ho: p, = 0.301 and p, = 0.176 and pą = 0.125 and and Pg = 0.046 H4: At least one of the proportions is different from the others. E. Ho: At least one of the proportions is not equal to the given claimed value. H1: p, = 0.301 and P2 = 0.176 and p3 = 0.125 and ... and Pg = 0.046 O F. Ho: p, = 0.301 and p, = 0.176 and p3 = 0.125 and and pa = 0.046 H4: At least one of the proportions is not equal to the given claimed value.
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