Recall that Benford's Law claims that numbers chosen from very large data files tend to have...

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Recall that Benfords Law claims that numbers chosen from very large data files tend to have 1 as the first nonzero digit d

Sketch the sampling distribution and show the area corresponding to the P-value. -2 0 2 o -2 0 2 4 0-4 -2 0 N 0-4 -2 0 2

level a? (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data s

math Statistics-And-Probability

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Answer 1

Answer #1

i)a ) level of significance =0.10

O Ho: P = 0.301; H: P > 0.301

b()

O The standard normal, since np > 5 and ng > 5.

sample success x =		87
sample size n =		226
std error σp =√(p*(1-p)/n) =		0.0305
sample proportion p̂ = x/n=		0.3850

z =(p̂-p)/σp=(0.385-0.301)/0.385=		2.75

c)

p value =

0.0030

(from excel:1*normsdist(-2.75)

0-4 -2 0 2

d)

O At the a= 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.

e)

There is sufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in the revenu

ii)

Yes. There seems to be too many entries with a leading digit 1.

iii)

We have not proved Me to be false. Because our data lead us to reject the null hypothesis, more investigation is merited.

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Answer 2

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