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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
icon
Related questions
Question

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.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 14 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Conclusion :

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

 

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax