Question

a scientist has a theory that 36% of geese in his area area do not fly south of the winter he tags 100 random geese in the summer and find that 42% of them do fly south. if a= .05 is the scientist belief warranted yes or no what is the test value

Answer 1

let population proportion that do not fly south p=0.36

and sample proportion that do not fly south phat=1-0.42 =0.58

from above test statistic =4.58

as test statistic falls in rejection region we reject null hypothesis ; we have sufficient evidence to reject the claim made by scientist