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I got stuck on the last two (c &d) questions and need help im not sure what to do here im using excel as well
I got stuck on the last two (c &d) questions and need help im not sure what to do here im using excel as well to calculate this not manual.
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? | |||||||||||||||||||
Top Liberal Arts Colleges Graduation % | Research Universities Graduation % | 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. | |||||||||||||||||
94 | 70 | A) | stand,dev | unknown | |||||||||||||||
81 | 88 | ||||||||||||||||||
90 | 73 | HO | m | 90% | 30 | ||||||||||||||
91 | 76 | H1 | m | > | 90% | ||||||||||||||
85 | 92 | ||||||||||||||||||
82 | 81 | ||||||||||||||||||
75 | 89 | ||||||||||||||||||
85 | 88 | Step 1: Calculate the sample size for liberal arts | |||||||||||||||||
83 | 92 | x1 | 84.28 | 90 | |||||||||||||||
89 | 88 | s1 | 6.32798 | ||||||||||||||||
72 | 84 | n1 29 | |||||||||||||||||
83 | 84 | ||||||||||||||||||
85 | 91 | numer | -5.72 | ||||||||||||||||
94 | 90 | denom | 1.265596 | ||||||||||||||||
82 | 87 | ||||||||||||||||||
77 | 77 | t stat | -4.51961 | ||||||||||||||||
73 | 74 | The p-value is greater than the chosen value of a , so do not reject the null hypothesis. There is insufficient evidence to conclude that the mean is greater than 90% | |||||||||||||||||
79 | 71 | ||||||||||||||||||
88 | 86 | P value | 0.999952 | ||||||||||||||||
88 | 89 | ||||||||||||||||||
85 | 59 | B) | Is there sufficient evidence at the 0.05 level of significance that the graduation rate for top liberal arts colleges exceeds 85%? Determine the null hypothesis, H0, and the alternative hypothesis, H1. | ||||||||||||||||
76 | 74 | ||||||||||||||||||
88 | 75 | ||||||||||||||||||
91 | 93 | HO | m | 85% | 85 | ||||||||||||||
91 | H1 | m | > | 85% | |||||||||||||||
numer | -0.72 | ||||||||||||||||||
denom | 1.265596 | ||||||||||||||||||
t stat | -0.5689 | ||||||||||||||||||
The p-value is greater than the chosen value of a , so do not reject the null hypothesis. There is insufficient evidence to conclude that the mean is greater than 85%. | |||||||||||||||||||
P value | 0.713099 | ||||||||||||||||||
c) | Is there sufficient evidence at the 0.01 level of significance that the graduation rate for top liberal arts colleges exceeds 90%???? | ||||||||||||||||||
D) | Is there sufficient evidence at the 0.01 level of significance that the graduation rate for top liberal arts colleges exceeds 85%???? | ||||||||||||||||||
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