Formulate and test hypotheses to determine if statistical evidence suggests that the graduation rate for​ (1) top liberal arts colleges or​ (2) research universities in the accompanying table exceeds​ 90%. Do the data support a conclusion that the graduation rates exceed​ 85%? Would your conclusions change if the level of significance was 0.01 instead of​ 0.05? LOADING... Click the icon to view the colleges and universities data.
Is there sufficient evidence at the 0.05 level of significance that the graduation rate for top liberal arts colleges exceeds​ 90%?
Determine the null​ hypothesis, H0​, and the alternative​ hypothesis, H1.
H0​:
▼
pi
sigma
mu
▼
not equals
greater than or equals
less than or equals
greater than
equals
less than
nothing​%
H1​:
▼
sigma
mu
pi
▼
greater than
less than
equals
less than or equals
not equals
greater than or equals
nothing​%
​(Type integers or decimals. Do not​ round.)
Top Liberal Arts Colleges Graduation % Research Universities Graduation %
94 66
80 88
89 75
90 75
83 90
80 81
75 93
85 89
86 90
87 84
73 88
87 81
87 94
90 90
82 90
79 77
70 75
81 75
88 85
88 86
85 62
76 72
84 76
90 94
91