A researcher claims that the number of homicide crimes by season is uniformly distributed. To test this​ claim, you randomly select 1,205 homicides from a recent year and record the season when each happened. The table shows the results. At α ​= 0.01​, test the​ researcher's claim. Season ​Frequency, f     Spring 308     Summer 314     Fall 295     Winter 288   A) State H0 and Ha and identify the claim.   H0​: The distribution of the number of homicide crimes by season _______   is not uniformly distributed. is the same as the expected. is uniformly distributed. differs from the expected.   Ha​: The distribution of the number of homicide crimes by season _______   is the same as the expected. is uniformly distributed. differs from the expected. is not uniformly distributed.   Which hypothesis is the​ claim? H0 Ha   Calculate the test statistic. X2= ​(Round to three decimal places as​ needed.)   Determine the​ P-value. ​P-value= ​(Round to three decimal places as​ needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.   Reject or Fail to reject H0.   There is or is not   enough evidence at the 1​% level of significance to reject the claim that the distribution of the number of homicide crimes by season   is not uniformly distributed. is the same as the expected. is uniformly distributed. differs from the expected.

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A researcher claims that the number of homicide crimes by season is uniformly distributed. To test this​ claim, you randomly select
1,205
homicides from a recent year and record the season when each happened. The table shows the results. At
α
​=
0.01​,
test the​ researcher's claim.
Season
​Frequency, f
 
 
Spring
308
 
 
Summer
314
 
 
Fall
295
 
 
Winter
288
 
A)
State
H0
and
Ha
and identify the claim.
 
H0​:
The distribution of the number of homicide crimes by season
_______
 
is not uniformly distributed.
is the same as the expected.
is uniformly distributed.
differs from the expected.
 
Ha​:
The distribution of the number of homicide crimes by season
_______
 
is the same as the expected.
is uniformly distributed.
differs from the expected.
is not uniformly distributed.
 
Which hypothesis is the​ claim?
H0
Ha
 
Calculate the test statistic.
X2=
​(Round to three decimal places as​ needed.)
 
Determine the​ P-value.
​P-value=
​(Round to three decimal places as​ needed.)
Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
 
Reject or Fail to reject
H0.
 
There
is or is not
 
enough evidence at the
1​%
level of significance to reject the claim that the distribution of the number of homicide crimes by season
 
is not uniformly distributed.
is the same as the expected.
is uniformly distributed.
differs from the expected.
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