Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? D Day Number of Births Sun 40 Mon 55 Tues 63 Wed 56 Thurs 65 Fri 59 Sat 49 Determine the null and alternative hypotheses. Ho: H₁: Calculate the test statistic, x². x² = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. O B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. O D. Reject Ho. There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? O A. Induced or Caesarean-section births are scheduled on weekends whenever possible. OB. Induced or Caesarean-section births are scheduled during the week whenever possible.
Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? D Day Number of Births Sun 40 Mon 55 Tues 63 Wed 56 Thurs 65 Fri 59 Sat 49 Determine the null and alternative hypotheses. Ho: H₁: Calculate the test statistic, x². x² = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. O B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. O D. Reject Ho. There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? O A. Induced or Caesarean-section births are scheduled on weekends whenever possible. OB. Induced or Caesarean-section births are scheduled during the week whenever possible.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Analyzing Birth Frequencies Throughout the Week: A Statistical Approach
Randomly selected birth records were obtained and categorized as listed in the table presented below. Using a 0.01 significance level, we will test the reasonable claim that births occur with equal frequency on different days of the week. Consider the apparent lower frequencies on Saturday and Sunday, and how they might be explained.
#### Table of Births by Day of the Week
| Day | Number of Births |
|------|------------------|
| Sun | 40 |
| Mon | 55 |
| Tues | 63 |
| Wed | 56 |
| Thurs| 65 |
| Fri | 59 |
| Sat | 49 |
### Statistical Analysis Steps
**1. Determine the null and alternative hypotheses.**
- \( H_0 \):
- \( H_1 \):
**2. Calculate the test statistic, \( \chi^2 \).**
\[ \chi^2 = \text{(Round to three decimal places as needed.)} \]
**3. Calculate the P-value.**
\[ \text{P-value} = \text{(Round to four decimal places as needed.)} \]
**4. What is the conclusion for this hypothesis test?**
- \( \chi^2 \) value calculation and interpretation.
- Decision on null hypothesis based on the P-value.
### Conclusion Options
- **A.** Reject \( H_0 \). There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
- **B.** Fail to reject \( H_0 \). There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
- **C.** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
- **D.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
**5. How might the apparent lower frequencies on Saturday and Sunday be explained?**
- **A.** Induced or Caesarean-section births are scheduled on weekends whenever possible.
- **B.** Induced or Caesarean-section births are scheduled](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e2dce9f-bcdf-4f32-a081-371e2dab1fcb%2F6a04a9c1-e008-4a26-9167-a63b1b600bb1%2Fxqycke_processed.png&w=3840&q=75)
Transcribed Image Text:### Analyzing Birth Frequencies Throughout the Week: A Statistical Approach
Randomly selected birth records were obtained and categorized as listed in the table presented below. Using a 0.01 significance level, we will test the reasonable claim that births occur with equal frequency on different days of the week. Consider the apparent lower frequencies on Saturday and Sunday, and how they might be explained.
#### Table of Births by Day of the Week
| Day | Number of Births |
|------|------------------|
| Sun | 40 |
| Mon | 55 |
| Tues | 63 |
| Wed | 56 |
| Thurs| 65 |
| Fri | 59 |
| Sat | 49 |
### Statistical Analysis Steps
**1. Determine the null and alternative hypotheses.**
- \( H_0 \):
- \( H_1 \):
**2. Calculate the test statistic, \( \chi^2 \).**
\[ \chi^2 = \text{(Round to three decimal places as needed.)} \]
**3. Calculate the P-value.**
\[ \text{P-value} = \text{(Round to four decimal places as needed.)} \]
**4. What is the conclusion for this hypothesis test?**
- \( \chi^2 \) value calculation and interpretation.
- Decision on null hypothesis based on the P-value.
### Conclusion Options
- **A.** Reject \( H_0 \). There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
- **B.** Fail to reject \( H_0 \). There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
- **C.** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
- **D.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week.
**5. How might the apparent lower frequencies on Saturday and Sunday be explained?**
- **A.** Induced or Caesarean-section births are scheduled on weekends whenever possible.
- **B.** Induced or Caesarean-section births are scheduled
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman