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