Answer to Question #100111 in Statistics and Probability for sofia

Question

State which test (z-test, t-test, ANOVA, χ2 test) is most suitable for each of the following cases:
(i) A report claims that 60%, 30%, and 10% of primary kids go to school on foot, by school bus, and by public transport. Test, if the same ratio applied for secondary kids.
(ii) A survey has interviewed 20 kids. Each kid reported the amount of red-packet money he or she has received in year 2019 and year 2018. Test, if the amount of red-packet money received has been increased from year 2018 to year 2019.

Answer 1

i) $\chi^2$ test (chi square test) because three proportions are being compared.

ii)Paired t-test because samples are dependent.