A χ2 goodness-of-fit test proportions was used to test the hypothesis that students at a local university select majors in the same 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.
A χ2 goodness-of-fit test proportions was used to test the hypothesis that students at a local university select majors in the same 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
Answer: 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.
Explanation: The p-value of 0.005 is less than the typical significance level of 0.05, indicating sufficient evidence to reject the null hypothesis.
Sourav
