The city of Pine Bluffs is studying the relationship between the number of police officers employed by the city and the number of crimes committed. The city council surveyed a random sample of other cities similar to Pine Bluffs to gather data on the number of crimes committed during a specified time period and the number of police officers the city employed. The results of an analysis of the data are shown below. The regression equation is Number of Crimes Predictor Constant Police 29.388 0.9596 Police Coef 29.388 SE Coef 4.143 T P-Value 7.09 0.000 -0.9596 0.2174 -4.41 0.004 What is the null hypothesis corresponding to the p-value of 0.004? (A) Changing the number of police affects the number of crimes for all cities like Pine Bluffs. (B) There is a linear relationship between the number of police and the number of crimes for all cities like Pine Bluffs. (C) There is no linear relationship between the number of police and the number of crimes for all cities like Pine Bluffs. (D) There is no relationship between the number of police and the number of crimes for all cities like Pine Bluffs. (E) There is no difference between the mean number of police and the mean number of crimes for all cities like Pine Bluffs.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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The city of Pine Bluffs is studying the relationship between the number of police officers employed
by the city and the number of crimes committed. The city council surveyed a random sample of
other cities similar to Pine Bluffs to gather data on the number of crimes committed during a
specified time period and the number of police officers the city employed. The results of an analysis
of the data are shown below.
The regression equation is
Number of Crimes
Predictor
Constant
Police
29.388 0.9596 Police
Coef
29.388
SE Coef
4.143
T P-Value
7.09
0.000
-0.9596 0.2174 -4.41
0.004
What is the null hypothesis corresponding to the p-value of 0.004?
(A) Changing the number of police affects the number of crimes for all cities like Pine Bluffs.
(B) There is a linear relationship between the number of police and the number of crimes for all
cities like Pine Bluffs.
(C) There is no linear relationship between the number of police and the number of crimes for all
cities like Pine Bluffs.
(D) There is no relationship between the number of police and the number of crimes for all cities
like Pine Bluffs.
(E) There is no difference between the mean number of police and the mean number of crimes for all
cities like Pine Bluffs.
Transcribed Image Text:The city of Pine Bluffs is studying the relationship between the number of police officers employed by the city and the number of crimes committed. The city council surveyed a random sample of other cities similar to Pine Bluffs to gather data on the number of crimes committed during a specified time period and the number of police officers the city employed. The results of an analysis of the data are shown below. The regression equation is Number of Crimes Predictor Constant Police 29.388 0.9596 Police Coef 29.388 SE Coef 4.143 T P-Value 7.09 0.000 -0.9596 0.2174 -4.41 0.004 What is the null hypothesis corresponding to the p-value of 0.004? (A) Changing the number of police affects the number of crimes for all cities like Pine Bluffs. (B) There is a linear relationship between the number of police and the number of crimes for all cities like Pine Bluffs. (C) There is no linear relationship between the number of police and the number of crimes for all cities like Pine Bluffs. (D) There is no relationship between the number of police and the number of crimes for all cities like Pine Bluffs. (E) There is no difference between the mean number of police and the mean number of crimes for all cities like Pine Bluffs.
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