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...




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.








Jun 09, 2022
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