A researcher claims that the number of homicide crimes by season is uniformly distributed. To test this claim, you randomly select 1,202 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.
State H0 and Ha and identify the claim.
H0: The distribution of the number of homicide crimes by season (1)
Ha: The distribution of the number of homicide crimes by season (2)
Which hypothesis is the claim?
H0
Ha
Calculate the test statistic.
χ² = (Round to three decimal places as needed.)
Determine the P-value.
P-value = (Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
(3) H0. There (4) enough evidence at the 5% level of significance to reject the claim that
the distribution of the number of homicide crimes by season (5)
(1) is not uniformly distributed.
differs from the expected.
is uniformly distributed.
is the same as the expected.
(2) is not uniformly distributed.
is uniformly distributed.
is the same as the expected.
differs from the expected.
(3) Fail to reject
Reject
(4) is
is not
(5) is the same as the expected.
is not uniformly distributed.
differs from the expected.
is uniformly distributed.