Question

In: Statistics and Probability

Credit Card Purchase Amounts ($) 887.95 359.87 1186.26 319.77 1075.23 1097.77 430.93 91.51 419.39 209.65 17.69...

Credit Card Purchase Amounts ($)
887.95
359.87
1186.26
319.77
1075.23
1097.77
430.93
91.51
419.39
209.65
17.69
14.55
707.58
311.09
42.53
682.24
45.61
1153.03
427.54
60.14
1163.06
59.74
1086.84
156.89
37.09
125.36
420.76
167.65
58.33
147.75
50.97
356.96
480.08
10.49
55.55
385.94
1145.87
94.15
9.89
91.55
44.65
664.52
27.46
900.03
46.95
57.42
852.98
389.79
551.74
69.23
896.29
1181.19
484.76
28.46
16.46
67.37
1124.64
896.59
454.13
89.29
15.94
1089.87
131.74
39.93
591.93
447.48
36.18
352.06
660.99
20.78
33.92
1006.53
235.82
44.37
10.14
734.09
488.57
11.21
320.57
39.59
91.21
964.54
241.26
94.83
865.56
758.44
469.68
179.64
1092.28
395.07
62.15
1021.83
121.67
69.34
626.32
78.35
22.69
169.85
77.15
1187.23

The data set in the accompanying table contains last month's credit card purchases of

100

customers randomly chosen from a segment of a major credit card issuer. The marketing department is considering a special offer for customers who spend more than

$1000

per month on their card. From these data construct a

90%

confidence interval for the proportion of customers in this segment who will qualify.

The 90​% confidence interval is:

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