Question

A) Use the results of Groth (1992), where researchers conducted a large observational study where n=3647 crossbills were observed in the wild, 1752 of which were right-billed and 1895 of which were left-billed to conduct a z-test. Report your test statistic, p-value, and estimated effect size, each rounded to four decimal places:

z-score:
p-value:
est. effect size:

B) Create a 95% confidence interval for the true proportion of European cross-bills that are right-billed. Submit your lower and upper bounds rounded out to four decimal places.

CI( , )

Answer 1

I assume we want to test if proportion of right-billed is different from 0.5

z-score = -2.3679

p-value = 0.0179

b)

confidence interval is (p^ +- z* sqrt(p^ q^/n))

z = 1.96

(0.4642,0.4966)