Final answer:
To determine if the distribution of the number of pets owned by students is significant, we can use a chi-square test.
Step-by-step explanation:
To determine if the distribution of the number of pets owned by students in the class is significant at the 1 percent level, we can use a chi-square test. First, we need to create a contingency table to compare the observed frequencies with the expected frequencies.
Let's assume that having a cat and having a dog are independent events. We can calculate the expected frequencies by multiplying the proportions of students who have cats and dogs by the total number of students. So, the expected frequency for students who have both a cat and a dog would be (15/25) * (16/25) * 25 = 9.6.
We can then use a chi-square test to compare the observed frequencies (from the given data) with the expected frequencies. If the test statistic is larger than the critical value at the 1 percent level of significance, we can reject the null hypothesis and conclude that there is a significant difference in the distribution of pets owned by the students.