The Excel file Room Inspection provides data for 100 room inspections at 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than 2%. Test an appropriate hypothesis to determine if management can make this claim. Sample Rooms Inspected Nonconforming Rooms Fraction Nonconforming 1 100 3 0.03 2 100 1 0.01 3 100 0 0.00 4 100 0 0.00 5 100 2 0.02 6 100 5 0.05 7 100 3 0.03 8 100 6 0.06 9 100 1 0.01 10 100 4 0.04 11 100 0 0.00 12 100 2 0.02 13 100 1 0.01 14 100 3 0.03 15 100 4 0.04 16 100 1 0.01 17 100 1 0.01 18 100 2 0.02 19 100 5 0.05 20 100 2 0.02 21 100 3 0.03 22 100 4 0.04 23 100 1 0.01 24 100 0 0.00 25 100 1 0.01
The Excel file Room Inspection provides data for 100 room inspections at 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than 2%. Test an appropriate hypothesis to determine if management can make this claim. Sample Rooms Inspected Nonconforming Rooms Fraction Nonconforming 1 100 3 0.03 2 100 1 0.01 3 100 0 0.00 4 100 0 0.00 5 100 2 0.02 6 100 5 0.05 7 100 3 0.03 8 100 6 0.06 9 100 1 0.01 10 100 4 0.04 11 100 0 0.00 12 100 2 0.02 13 100 1 0.01 14 100 3 0.03 15 100 4 0.04 16 100 1 0.01 17 100 1 0.01 18 100 2 0.02 19 100 5 0.05 20 100 2 0.02 21 100 3 0.03 22 100 4 0.04 23 100 1 0.01 24 100 0 0.00 25 100 1 0.01
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The Excel file Room Inspection provides data for 100 room inspections at 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than 2%. Test an appropriate hypothesis to determine if management can make this claim.
Sample | Rooms Inspected | Nonconforming Rooms | Fraction Nonconforming |
1 | 100 | 3 | 0.03 |
2 | 100 | 1 | 0.01 |
3 | 100 | 0 | 0.00 |
4 | 100 | 0 | 0.00 |
5 | 100 | 2 | 0.02 |
6 | 100 | 5 | 0.05 |
7 | 100 | 3 | 0.03 |
8 | 100 | 6 | 0.06 |
9 | 100 | 1 | 0.01 |
10 | 100 | 4 | 0.04 |
11 | 100 | 0 | 0.00 |
12 | 100 | 2 | 0.02 |
13 | 100 | 1 | 0.01 |
14 | 100 | 3 | 0.03 |
15 | 100 | 4 | 0.04 |
16 | 100 | 1 | 0.01 |
17 | 100 | 1 | 0.01 |
18 | 100 | 2 | 0.02 |
19 | 100 | 5 | 0.05 |
20 | 100 | 2 | 0.02 |
21 | 100 | 3 | 0.03 |
22 | 100 | 4 | 0.04 |
23 | 100 | 1 | 0.01 |
24 | 100 | 0 | 0.00 |
25 | 100 | 1 | 0.01 |
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Step 1: Providing given information:
VIEWStep 2: Stating null and alternate hypothesis:
VIEWStep 3: Determining tail of the test and significance level of the test:
VIEWStep 4: Determining decision rule:
VIEWStep 5: Calculating test statistics and p-value:
VIEWStep 6: Making decision and concluding the results:
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