Question

The vice president of the student organization has asked you to create an estimate of the...

The vice president of the student organization has asked you to create an estimate of the proportion of students who have attained more than 60 credit hours. You ask her what level of confidence she wants to have in the estimate and she says that she would like to be 90% confident in the proportion estimate. Create the confidence interval using the sample data. Write a sentence or two to communicate the results to her.

Student More than 60 credit hours attained
1 No
2 No
3 No
4 No
5 No
6 No
7 No
8 No
9 No
10 No
11 No
12 No
13 No
14 No
15 No
16 No
17 No
18 No
19 No
20 No
21 No
22 No
23 No
24 No
25 No
26 No
27 No
28 No
29 No
30 No
31 No
32 No
33 No
34 No
35 No
36 No
37 No
38 No
39 No
40 No
41 No
42 No
43 No
44 No
45 No
46 No
47 No
48 No
49 No
50 No
51 No
52 No
53 No
54 Yes
55 Yes
56 Yes
57 Yes
58 Yes
59 Yes
60 Yes
61 Yes
62 Yes
63 Yes
64 Yes
65 Yes
66 Yes
67 Yes
68 Yes
69 Yes
70 Yes
71 Yes
72 Yes
73 Yes
74 Yes
75 Yes
76 Yes
77 Yes
78 Yes
79 Yes
80 Yes
81 Yes
82 Yes
83 Yes
84 Yes
85 Yes
86 Yes
87 Yes
88 Yes
89 Yes

Homework Answers

Answer #1

Number of students who have attained more than 60 credit hours = 36

proportion = p = 36/89 = 0.4045

confidence interval is given by:

p = proportion = 0.4045

z = z value for desired confindence level of 90% = 1.645

n= numbe of students = 89

Thus putting the values in above equation gives

confidence interval = (0.3189 , 0.4901)

Result : Thus we have 90% confidence that proportion of students who have attained more than 60 credit hours is between 31.89% and 49.01%.

*******************************************

Thanks.

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