Running heart rate - Jose is a physician who is researching to what extent running affects heart rate in 18-25 year-olds. He believes that less than 50% of 18-25 year-olds will experience a heart rate of more than 120 beats per minute (bpm) after running a mile. Jose recruits a random sample of 464 people between the ages of 18 and 25 to run a mile and records their heart rate. He finds that 184 have a heart rate of more than 120 bpm. Round all calculated answers to 4 decimal places. 1. Correctly state the null and alternative hypotheses. Ho : p = v HA:P < 2. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 10 ов. 25 C. 184 OD. 20 OE. None of the above 3. Calculate the test statistic for this hypothesis test. 4. Calculate the p-value. 5. Which of the statements below are correct interpretations of the p-value? You should choose all that are correct interpretations. OA. The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true. OB. This p-value suggests that based on this sample there is strong evidence that the null model is not compatible with the data. OC. This p-value suggests that based on this sample there is extremely strong evidence that the null model is not compatible with the data. OD. The p-value is the probability that the null hypothesis is true. OE. The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true. OF. If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the null dictrihution
Running heart rate - Jose is a physician who is researching to what extent running affects heart rate in 18-25 year-olds. He believes that less than 50% of 18-25 year-olds will experience a heart rate of more than 120 beats per minute (bpm) after running a mile. Jose recruits a random sample of 464 people between the ages of 18 and 25 to run a mile and records their heart rate. He finds that 184 have a heart rate of more than 120 bpm. Round all calculated answers to 4 decimal places. 1. Correctly state the null and alternative hypotheses. Ho : p = v HA:P < 2. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 10 ов. 25 C. 184 OD. 20 OE. None of the above 3. Calculate the test statistic for this hypothesis test. 4. Calculate the p-value. 5. Which of the statements below are correct interpretations of the p-value? You should choose all that are correct interpretations. OA. The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true. OB. This p-value suggests that based on this sample there is strong evidence that the null model is not compatible with the data. OC. This p-value suggests that based on this sample there is extremely strong evidence that the null model is not compatible with the data. OD. The p-value is the probability that the null hypothesis is true. OE. The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true. OF. If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the null dictrihution
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
Topic Video
Question
![**Running Heart Rate Study**
Jose, a physician, is researching the extent to which running affects heart rate in 18-25 year-olds. He believes that less than 50% of 18-25 year-olds will experience a heart rate of more than 120 beats per minute (bpm) after running a mile.
**Study Design:**
- **Sample Size:** 464 people aged 18-25
- **Task:** Run a mile
- **Observation:** Heart rate recorded after running
- **Findings:** 184 participants had a heart rate of more than 120 bpm
**Statistical Analysis:**
1. **Null and Alternative Hypotheses:**
- Null Hypothesis \(H_0: p =\) [ ]
- Alternative Hypothesis \(H_A: p <\) [ ]
2. **Independence and Sample Size:**
- Determine the smallest sample size value to meet the conditions for this hypothesis test:
- A. 10
- B. 25
- C. 184
- D. 20
- E. None of the above
3. **Test Statistic Calculation:**
- Calculate the test statistic for this hypothesis test: [ ]
4. **P-value Calculation:**
- Calculate the p-value: [ ]
5. **Interpreting the P-value:** (Select all correct interpretations)
- \( \square \) A. The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true.
- \( \square \) B. This p-value suggests that based on this sample there is strong evidence that the null model is not compatible with the data.
- \( \square \) C. This p-value suggests that based on this sample there is extremely strong evidence that the null model is not compatible with the data.
- \( \square \) D. The p-value is the probability that the null hypothesis is true.
- \( \square \) E. The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true.
- \( \square \) F. If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the null distribution.
The answers to these questions will guide the interpretation of the statistical significance of Jose's](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8585c01c-e95f-4e9e-ab09-9be83264bdef%2F81a7bcd7-f5ea-4461-84b0-2c1a8af29a3d%2Fdkaaedp_processed.png&w=3840&q=75)
Transcribed Image Text:**Running Heart Rate Study**
Jose, a physician, is researching the extent to which running affects heart rate in 18-25 year-olds. He believes that less than 50% of 18-25 year-olds will experience a heart rate of more than 120 beats per minute (bpm) after running a mile.
**Study Design:**
- **Sample Size:** 464 people aged 18-25
- **Task:** Run a mile
- **Observation:** Heart rate recorded after running
- **Findings:** 184 participants had a heart rate of more than 120 bpm
**Statistical Analysis:**
1. **Null and Alternative Hypotheses:**
- Null Hypothesis \(H_0: p =\) [ ]
- Alternative Hypothesis \(H_A: p <\) [ ]
2. **Independence and Sample Size:**
- Determine the smallest sample size value to meet the conditions for this hypothesis test:
- A. 10
- B. 25
- C. 184
- D. 20
- E. None of the above
3. **Test Statistic Calculation:**
- Calculate the test statistic for this hypothesis test: [ ]
4. **P-value Calculation:**
- Calculate the p-value: [ ]
5. **Interpreting the P-value:** (Select all correct interpretations)
- \( \square \) A. The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true.
- \( \square \) B. This p-value suggests that based on this sample there is strong evidence that the null model is not compatible with the data.
- \( \square \) C. This p-value suggests that based on this sample there is extremely strong evidence that the null model is not compatible with the data.
- \( \square \) D. The p-value is the probability that the null hypothesis is true.
- \( \square \) E. The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true.
- \( \square \) F. If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the null distribution.
The answers to these questions will guide the interpretation of the statistical significance of Jose's
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 4 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.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