Professors collected data consisting of eye color and gender of statistics students. among 904 male​ students, 357 had blue eyes. among 1109 female​ students, 348 had blue eyes. use a 0.05 significance level to test the claim that the proportions of blue eyes are the same for males and females. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test?
a. H₀ : p₁>p₂
H₁ : p₁≠p₂
b. H₀ : p₁=p₂
H₁ : p₁

c. H₀ : p₁≠p₂
H₁ : p₁=p₂
d. H₀ : p₁

H₁ : p₁≠p₂
e. H₀ : p₁=p₂
H₁ : p₁>p₂
f. H₀ : p₁≠p₂
H₁ : p₁=p₂