Question

Just do number 2.

1) A sample of 4131 births was observed, and the day of the week on which each birth occurred was noted. These are the results

1                      2                      3                      4                      5                      6                      7         

Mon                 Tue                  Wed                 Thu                  Fri                    Sat                   Sun

629                   693                   678                   677                   643                   432                   379      

Test the null hypothesis that a person is equally likely to be born on any day of the week. In other words that p_i0 = 1/7, i = 1,2, …, 7. Give expected number of births each day, Chi-square statistic, degrees of freedom, and p-value

E_i = _________ ; X² = ________ ; df = _____ ; p-value = _____________

2) Same data as previous problem, but now test H₀: p_i0 = 1/6, i = 1,2,3,4,5, and p_i0 = 1/12, i = 6,7

E₁ = E₂ = E₃ = E₄ = E₅ = _________; E₆ = E₇ = ________; X² = ________ ; df = _____ ; p-value = _____

Answer 1