Question: My favorite bird is the black- crowned night heron. The relative proportion of males to females is hypothesized to vary with season. To test this hypothesis,this species is counted during four seasons and the sex of each observed bird is recorded. We would like to test the null hypothesis that the numbers of males to females was the same in all four seasons. The following data are observed:
Spring,males= 163
Summer,males=135
Fall,males=71
Winter,males=43
Spring,females=86
Summer,females=77
Fall,females=40
Winter,females=38
What is the expected number of females in the summer?
What is the number of degrees of freedom associated with this test?
What is the observed statistic for this test?