Question

A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p -value of 0.005. Which of the following is correct?

a. There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.

b. There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.

c. There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.

d. There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.

e. Students at the local university select majors in the same proportions as do students in the rest of the state.

Answer 1

H0: There is no significant difference in proportion of local and other universities.

Ha: There is significant difference in proportion of local and other universities.

Since p-value = 0.005 < 0.05

we have sufficient evidence to support the claim.

Conclusion -

There is sufficient evidence to conclude that students at the local university do not select

majors in the same proportions as do students in the rest of the state.