Children of three different ages—5 years, 7, years, and 9 years--were given a list of 5 different animals and asked which animal they would choose to be if they could be that animal for one day. A chi-square test for homogeneity on the data produced a test statistic of χ2 = 13.89, which yields a P-value of 0.0847. Using a significance level of α = 0.05, which of the following is the appropriate conclusion for this test?

a) Reject H0: there is convincing evidence that the distribution of animal choices is different for at least one of the age groups. b) Accept H0: there is convincing evidence the distribution of animal choices is the same for all three age groups.
c) Reject H0: there is insufficient evidence to conclude that the distribution of animal choices is different for at least one of the age
groups.
d) Fail to reject H0: there is convincing evidence the distribution of animal choices is the same for all three age groups.
e) Fail to reject H0: there is insufficient evidence to conclude that the distribution of animal choices is different for at least one of
the age groups.