The accompanying table provides the data for 100 room inspections at each of 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than 2%. Formulate a one-sample hypothesis test for a proportion and perform the calculations using the correct formulas and Excel functions. Use a level of significance of 0.05. The image displays a table used for quality control, showing data related to room inspections. Below is the transcribed and detailed explanation.### Table Overview#### Columns:1. **Sample**: Indicates the sample number, ranging from 1 to 25.2. **Rooms Inspected**: Consistently shows 100 rooms inspected in each sample.3. **Nonconforming Rooms**: Varies per sample, indicating the number of rooms that did not meet the standards.4. **Fraction Nonconforming**: Represents the fraction of nonconforming rooms in each sample.#### Data:- **Sample 1**: - Nonconforming Rooms: 2 - Fraction Nonconforming: 0.02- **Sample 2**: - Nonconforming Rooms: 1 - Fraction Nonconforming: 0.01- **Sample 3**: - Nonconforming Rooms: 1 - Fraction Nonconforming: 0.01- **Sample 4**: - Nonconforming Rooms: 3 - Fraction Nonconforming: 0.03- **Sample 5**: - Nonconforming Rooms: 6 - Fraction Nonconforming: 0.06- **Sample 6**: - Nonconforming Rooms: 3 - Fraction Nonconforming: 0.03- **Sample 7**: - Nonconforming Rooms: 7 - Fraction Nonconforming: 0.07- **Sample 8**: - Nonconforming Rooms: 1 - Fraction Nonconforming: 0.01- **Sample 9**: - Nonconforming Rooms: 4 - Fraction Nonconforming: 0.04- **Sample 10**: - Nonconforming Rooms: 4 - Fraction Nonconforming: 0.04- **Sample 11**: - Nonconforming Rooms: 2 - Fraction Nonconforming: 0.02- **Sample 12**: - Nonconforming Rooms: 4 - Fraction Nonconforming: 0.04- **Sample 13**: - Nonconforming Rooms: 2

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Question Help The accompanying table provides the data for 100 room inspections at each of 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than 2%. Formulate a one-sample hypothesis test for a proportion and perform the calculations using the correct formulas and Excel functions Use a level of significance of 0 05 Click the icon to view the room inspection data Is there sufficient evidence at the 0 05 level of significance that the proportion nonconforming rooms to be less than 2%? Determine the null hypothesis, Hg, and the alternative hypothesis, H, Ho 02 H, < 02 (Type integers or decimals. Do not round) Compute the test statistic (Round to two decimal places as needed)

Question Help The accompanying table provides the data for 100 room inspections at each of 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than 2%. Formulate a one-sample hypothesis test for a proportion and perform the calculations using the correct formulas and Excel functions Use a level of significance of 0 05 Click the icon to view the room inspection data Is there sufficient evidence at the 0 05 level of significance that the proportion nonconforming rooms to be less than 2%? Determine the null hypothesis, Hg, and the alternative hypothesis, H, Ho 02 H, < 02 (Type integers or decimals. Do not round) Compute the test statistic (Round to two decimal places as needed)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR

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The accompanying table provides the data for 100 room inspections at each of 25 hotels in a major chain. Management would like the proportion of nonconforming rooms to be less than 2%. Formulate a one-sample hypothesis test for a proportion and perform the calculations using the correct formulas and Excel functions. Use a level of significance of 0.05.

The image displays a table used for quality control, showing data related to room inspections. Below is the transcribed and detailed explanation.

### Table Overview

#### Columns:
1. **Sample**: Indicates the sample number, ranging from 1 to 25.
2. **Rooms Inspected**: Consistently shows 100 rooms inspected in each sample.
3. **Nonconforming Rooms**: Varies per sample, indicating the number of rooms that did not meet the standards.
4. **Fraction Nonconforming**: Represents the fraction of nonconforming rooms in each sample.

#### Data:

- **Sample 1**:
- Nonconforming Rooms: 2
- Fraction Nonconforming: 0.02

- **Sample 2**:
- Nonconforming Rooms: 1
- Fraction Nonconforming: 0.01

- **Sample 3**:
- Nonconforming Rooms: 1
- Fraction Nonconforming: 0.01

- **Sample 4**:
- Nonconforming Rooms: 3
- Fraction Nonconforming: 0.03

- **Sample 5**:
- Nonconforming Rooms: 6
- Fraction Nonconforming: 0.06

- **Sample 6**:
- Nonconforming Rooms: 3
- Fraction Nonconforming: 0.03

- **Sample 7**:
- Nonconforming Rooms: 7
- Fraction Nonconforming: 0.07

- **Sample 8**:
- Nonconforming Rooms: 1
- Fraction Nonconforming: 0.01

- **Sample 9**:
- Nonconforming Rooms: 4
- Fraction Nonconforming: 0.04

- **Sample 10**:
- Nonconforming Rooms: 4
- Fraction Nonconforming: 0.04

- **Sample 11**:
- Nonconforming Rooms: 2
- Fraction Nonconforming: 0.02

- **Sample 12**:
- Nonconforming Rooms: 4
- Fraction Nonconforming: 0.04

- **Sample 13**:
- Nonconforming Rooms: 2

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