A researcher claims that the number of homicide crimes by season is uniformly distributed. To test this​ claim, you randomly select 1,184 homicides from a recent year and record the season when each happened. The table shows the results. At α ​= 0.05​, test the​ researcher's claim.     Season   ​Frequency, f         Spring   301       Summer   311       Fall   290       Winter   282     State H0 and Ha and identify the claim.   H0​: The distribution of the number of homicide crimes by season Ha​: The distribution of the number of homicide crimes by season. Calculate the test statistic. χ2=____________ ​ Determine the​ P-value. ​P-value=_______________ ​ Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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

1,184

homicides from a recent year and record the season when each happened. The table shows the results. At

α

​=

0.05​,

test the​ researcher's claim.

 

 

Season

 

​Frequency, f

 

 

 

 

Spring

 

301

 

 
 

Summer

 

311

 

 
 

Fall

 

290

 

 
 

Winter

 

282

 

 

State

H0

and

Ha

and identify the claim.

 

H0​:

The distribution of the number of homicide crimes by season

Ha​:

The distribution of the number of homicide crimes by season.

Calculate the test statistic. χ2=____________ ​

Determine the​ P-value. ​P-value=_______________ ​

Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

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Conclusion :

There is insufficient evidence to reject the claim that the no. of homicide crimes by season is uniformly distributed.

 

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