Reference no: EM132404116

Nationwide 40.1% of employed teachers are union members. A random sample of 250 Oregon teachers showed that 110 belonged to a union. At α = 0.10, is there sufficient evidence to conclude that the proportion of union membership for Oregon teachers is higher than the national proportion?

a) What are the correct hypotheses?

H₀ :H₁ :p=0.401

p > 0.401

H₀ :H₁ : p > 0.401

p ≤ 0.401

H₀ :H₁ : p= 0.44

p > 0.44

H₀ :H₁ : p > 0.44

p ≤ 0.44

H₀ :H₁ : u = 0.401

u > 0.401

b) The p-value is 0.1042. Choose the correct decision and summary.

Reject H₀, there is enough evidence to support the claim that the proportion of union membership for Oregon teachers is higher than the national proportion of 40.1%.

Do not reject H₀, there is not enough evidence to support the claim that the proportion of union membership for Oregon teachers is higher than the national proportion of 40.1%.

Reject H₀, there is not enough evidence to support the claim that the proportion of union membership for Oregon teachers is higher than the national proportion of 40.1%.

Do not reject H₀, there is enough evidence to support the claim that the proportion of union membership for Oregon teachers is higher than the national proportion of 40.1%.