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The federal government recently granted funds for a special program designed to

ID: 3312844 • Letter: T

Question

The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in eight high-crime areas yielded the following results:

Has there been a decrease in the number of crimes since the inauguration of the program? Use the 0.05 significance level. Estimate the p-value.

State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.)

The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in eight high-crime areas yielded the following results:

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between After and Before
H0 : D = 0
HA : D < 0
Hypothesis test results:

Hence,

a) The decision rule is Reject H0 if t < -1.895

b) Test statistic = -0.168

c) Do not reject Ho

d) p - Value = 0.4358

Difference Mean Std. Err. DF T-Stat P-value After - Before -0.375 2.2355688 7 -0.16774255 0.4358
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