Question

does the data provide sufficient evidence to conclude that the number of errors in auditing technique a is greater than the number of errors in auditing technique b at the 0.01 level of significance? select the [rejection region, decision of reject (rh0) or failure to reject (frh0)]. (hint: the samples are dependent)

Answer 1

Option- d is correct that is [t > 1.4, RH₀] when there enough evidence in the data to draw the inference that, at the 0.01 level of significance.

Given that,

We have to find is there enough evidence in the data to draw the inference that, at the 0.01 level of significance, there are more errors in auditing approach A than in auditing technique B.

We know that,

The Alternative Hypothesis, Value of the Test Statistic.

D=Errors in A-Errors in B

H₀=β

β>0

Mean: H₀=average(d)

=4.444

Standard deviation H₁=stved(d)

=6.7474

n=9

Paried t-test:

​​​​​​​d>0

t=x-μ(d)/σ√n

t=1.9760

p-value:P(t>1.97)

=0.0421

P<α ---->Reject H₀

Therefore, Option- d is correct that is [t > 1.4, RH₀] when there enough evidence in the data to draw the inference that, at the 0.01 level of significance.

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