A researcher claims that the number of homicide crimes by season is uniformly distributed. To test this claim, you randomly select 1,206 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
304
Summer
315
Fall
298
Winter
289
1) State H0 and Ha and identify the claim:
H0: The distribution of the number of homicide crimes by season is uniformly distributed.
Ha: The distribution of the number of homicide crimes by season differs from being uniformly distributed.
2) Which hypothesis is the claim?
The claim is H0.
3) Calculate the test statistic: x^2 = ?