1. 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 1 2 3 4 5 6 7 8 9 ​Benford's Law ​30.1% ​17.6% ​12.5% ​9.7% ​7.9% ​6.7% ​5.8% ​5.1% ​4.6% Leading Digits of​ Inter-Arrival Traffic Times 76 62 29 33 19 27 28 21 22 Choose the correct answer below.     A. H0​: At least one of the proportions is different from the others. H1​: p1=0.301 and p2=0.176 and p3=0.125 and ... and p9=0.046   B. H0​: p1=0.301 and p2=0.176 and p3=0.125 and ... and p9=0.046 H1​: At least one of the proportions is not equal to the given claimed value.   C. H0​: None of the proportions are equal to the given claimed value. H1​: p1=0.301 and p2=0.176 and p3=0.125 and ... and p9=0.046   D. H0​: At least one of the proportions is not equal to the given claimed value. H1​: p1=0.301 and p2=0.176 and p3=0.125 and ... and p9=0.046   E. H0​: p1=0.301 and p2=0.176 and p3=0.125 and ... and p9=0.046 H1​: None of the proportions are equal to the given claimed value.   F. H0​: p1=0.301 and p2=0.176 and p3=0.125 and ... and p9=0.046 H1​: At least one of the proportions is different from the others

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1. 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
1
2
3
4
5
6
7
8
9
​Benford's Law
​30.1%
​17.6%
​12.5%
​9.7%
​7.9%
​6.7%
​5.8%
​5.1%
​4.6%
Leading Digits of​ Inter-Arrival Traffic Times
76
62
29
33
19
27
28
21
22
Choose the correct answer below.
 
 
A.
H0​:
At least one of the proportions is different from the others.
H1​:
p1=0.301
and
p2=0.176
and
p3=0.125
and ... and
p9=0.046
 
B.
H0​:
p1=0.301
and
p2=0.176
and
p3=0.125
and ... and
p9=0.046
H1​:
At least one of the proportions is not equal to the given claimed value.
 
C.
H0​:
None of the proportions are equal to the given claimed value.
H1​:
p1=0.301
and
p2=0.176
and
p3=0.125
and ... and
p9=0.046
 
D.
H0​:
At least one of the proportions is not equal to the given claimed value.
H1​:
p1=0.301
and
p2=0.176
and
p3=0.125
and ... and
p9=0.046
 
E.
H0​:
p1=0.301
and
p2=0.176
and
p3=0.125
and ... and
p9=0.046
H1​:
None of the proportions are equal to the given claimed value.
 
F.
H0​:
p1=0.301
and
p2=0.176
and
p3=0.125
and ... and
p9=0.046
H1​:
At least one of the proportions is different from the others.
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