Question :
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 60% . If 127 out of a random sample of 240 college students expressed an intent to vote, can we reject the aide's estimate at the 0.1 level of significance?
Answer:
H₀ : p [tex]>[/tex] = 0.60
H₁ : p [tex]<[/tex] 0.60
p [tex]>[/tex] = test statics
as H₀ is true so it is fail to reject null hypothesis.
Step-by-step explanation:
Construction of hypothesis:
H₀ : p [tex]>[/tex] = 0.60
H₁ : p [tex]<[/tex] 0.60
Level of significance :
∝ = 0.1%
As sample is given we are using z - test
p-hat = 127 /240 = 0.529
test-statics
z= 0 .529 - 0.6 /√0.6*0.1/240 = -0.7083
Critical Region
p [tex]>[/tex] = test statics
as H₀ is true so it is fail to reject null hypothesis.
