Question

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 |

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.

have a java application need to create an application which is
able to do some analysis on temperature data stored in a data file.
You will be given the “temperatures.dat” data file which contains
the data you must analyze. The analysis you’ll need to do is:
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Find coldest temperature
Find warmest temperature
Find average temperature
Find the frequency of each temperature
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Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
97...

Below represent scores on an exam, each entry one score for one
student
40
99
59
98
63
63
64
65
67
35
67
67
68
70
71
71
71
46
72
72
60
73
74
74
74
75
97
75
62
76
76
76
76
76
77
57
77
98
77
63
78
78
78
79
79
80
80
80
80
80
81
81
92
81
93
82
82
83
83
83
83
83
83
83
84
84
84...

An administrator said that he believes that 50% of all students
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question. “No” means that the student has not attained more than 60
credit hours. “Yes” means that the student has attained more than
60 credit hours.
a. Write the claim in symbolic form
b. Write the null and alternative hypothesis in symbolic
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c. State the...

TestScore
53
53
56
56
56
58
58
58
59
59
59
60
60
62
63
63
63
64
65
65
66
67
67
67
67
68
69
69
69
69
71
71
72
72
72
72
73
73
73
73
73
74
75
75
75
76
76
76
76
77
77
77
77
77
78
78
78
79
79
79
79
80
80
80
80
80
80
81
81
81
82
82
83
83
83
83
84
84
84...

Refer to the accompanying data set and construct a 95%
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Males Females
81
82
72
94
52
57
59
66
51
54
62
80
52
77
74
85
51
89
62
57
73
35
61
64
62
87
80
74
80
79
63
62
63
67
97
76
43
60
85
65
72
86
66
85
73
69
72 ...

Using the accompanying Student Grades data, construct a scatter
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Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
11...

Refer to the accompanying data set and construct a 90%
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Males
Females
85
79
76
82
53
73
62
57
49
99
63
72
52
75
78
75
50
87
61
53
73
35
59
65
67
82
80
75
83
80
66
62
66
63
96
77
40
60
87
62
71
84
66
82
74
70
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PLACES.
ExxamScores
Student ID #
Middtermmm
Final
56065
97
64
79499
95
85
59716
89
72
83504
79
64
77735
78
74
57760
87
93
78204
83
70
81177
94
79
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