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.
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.
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 14 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Conclusion :
There is insufficient evidence to reject the claim that the no. of homicide crimes by season is uniformly distributed.
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)