Question

Data were gathered from a simple random sample of cities. The variables are Violent Crime (crimes per 100,000 population), Police Officer Wage (mean $/hr), and Graduation Rate (%). Use the accompanying regression table to answer the following questions consider the coefficient of Graduation Rate. Complete parts a through e.

Dependent variable is: Violent Crime

R squared=38.1 R squared (adjusted)=40.3 s=129.6 with 37 degrees of freedom

Variable |
Coeff |
SE (Coeff) |
t-ratio |
P-value |
||||
---|---|---|---|---|---|---|---|---|

Intercept |
1388.65 |
183 |
.9 |
7.55 |
< |
0.0001 |
||

Police Officer Wage |
9.44 |
44 |
.192 |
2.25 |
0.0304 |
|||

Graduation Rate |
−16.51 |
2 |
.600 |
−6.35 |
< |
0.0001 |

a) State the standard null and alternative hypotheses for the true coefficient of Graduation Rate.

A. H0: βGradRate=0

HA:βGradRateless than<0

B. H0: βGradRatenot equals≠0

HA:βGradRateequals=0

C. H0: βGradRateequals=0

HA:βGradRatenot equals≠0

D H0:βGradRat=0

HA: βGradRate>0

b) What is the t-statistic corresponding to this test?

The t-statistic is (________) (Type an integer or a decimal.)

c) Why is the t-statistic negative?

A.The t-statistic is negative because R squared is less than 50%.

B.The t-statistic is negative because the coefficient has the smallest standard error.

C.The t-statistic is negative because the coefficient is negative.

D.The t-statistic is negative because R squared (adjusted) is less than 50%.

d) What is the P-value corresponding to this t-statistic?

A.−0.617

B. 0.0304

C. 9.44

D.<0.0001

e) Test the null hypothesis (at α=0.05) and state your conclusion.

A.Reject H0. There is sufficient evidence that the coefficient is different from 0.

B.Fail to reject H0. There is insufficient evidence that the coefficient is different from 0.

C.Fail to reject H0. There is sufficient evidence that the coefficient is different from 0.

D.Reject H0. There is insufficient evidence that the coefficient is different from 0.

Click to select your answer(s).

Answer #1

A random sample of n1 = 10 regions in New
England gave the following violent crime rates (per million
population).
x1: New England Crime
Rate
3.5
3.9
4.0
4.1
3.3
4.1
1.8
4.8
2.9
3.1
Another random sample of n2 = 12 regions in
the Rocky Mountain states gave the following violent crime rates
(per million population).
x2: Rocky Mountain Crime
Rate
3.9
4.3
4.7
5.3
3.3
4.8
3.5
2.4
3.1
3.5
5.2
2.8
Assume that the crime rate distribution...

A random sample of n1 = 10 regions in New
England gave the following violent crime rates (per million
population).
x1: New England Crime
Rate
3.5
3.7
4.2
4.1
3.3
4.1
1.8
4.8
2.9
3.1
Another random sample of n2 = 12 regions in
the Rocky Mountain states gave the following violent crime rates
(per million population).
x2: Rocky Mountain Crime
Rate
3.9
4.1
4.5
5.1
3.3
4.8
3.5
2.4
3.1
3.5
5.2
2.8
Assume that the crime rate distribution...

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Table 2 and Table 4.
ANOVA
df
SS
MS
F
Significance F
Regression
2
188,246.8
94,123.4
9.04E-07
Residual
17
45,457.32
2,673.96
Total
19
233,704.1
Coefficients
Standard
Error
t
Stat
p-value...

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and
n2 = 170
observations were randomly selected from binomial populations 1
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You wish to perform a hypothesis test to determine if there is a
difference in the sample proportions
p1
and
p2.
(a)
State the null and alternative hypotheses.
H0:
(p1 − p2)
< 0 versus Ha:
(p1 − p2)
> 0
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(p1 − p2)
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(HINT: make sure you copy the numbers correctly!) What are the
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To perform a test of the null and alternative hypotheses shown
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Sample from Population 2: 45,53,37,47,44,38,43,46,46,41
H0: ?1 ? ?2 = 0
HA: ?1 – ? ? 0
Determine the rejection region for the test statistic t. Select
the correct choice below and fill in...

(1 point) College Graduation
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graduation rate as the response variable. Summary output from the
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Coefficients
Estimate
Std. Error
t value
Pr(>|t|)...

Test the given claim. Assume that a simple random sample is
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A simple random sample of 29 filtered 100-mm cigarettes is
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through (d) below. a. What are the null and...

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