In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 104 of 699 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 61 of 580 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the a=0.05 level of significance? Verify the model requirements. Select all that apply. A. The samples are independent. B. The data come from a population that is normally distributed C. The sample size is less than 5% of the population size for each sample. D.P₁ (1-₁) 2 ≥ 10 and E. The samples are dependent. F. The sample size is more than 5% of the population size for each sample. Determine the null and alternative hypotheses. Ho P1 P2 H₁ P₁ P₂ Find the test statistic for this hypothesis test. 2.32 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. 10₂P₂ (1-P₂) ≥10
In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 104 of 699 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 61 of 580 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the a=0.05 level of significance? Verify the model requirements. Select all that apply. A. The samples are independent. B. The data come from a population that is normally distributed C. The sample size is less than 5% of the population size for each sample. D.P₁ (1-₁) 2 ≥ 10 and E. The samples are dependent. F. The sample size is more than 5% of the population size for each sample. Determine the null and alternative hypotheses. Ho P1 P2 H₁ P₁ P₂ Find the test statistic for this hypothesis test. 2.32 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. 10₂P₂ (1-P₂) ≥10
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
double check responses? is there one missing in the first question?
![**Clinical Trial Analysis of a New Vaccine**
In a randomized, double-blind clinical trial of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 104 of 699 subjects in the experimental group (group 1) experienced drowsiness as a side effect. In the control group (group 2), 61 of 580 subjects experienced drowsiness after the second dose.
**Research Question:**
Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α = 0.05 level of significance?
**Model Requirements Verification**
Select all that apply:
- [x] A. The samples are independent.
- [ ] B. The data come from a population that is normally distributed.
- [x] C. The sample size is less than 5% of the population size for each sample.
- [x] D. \( n_1 \hat{p}_1 (1 - \hat{p}_1) \geq 10 \) and \( n_2 \hat{p}_2 (1 - \hat{p}_2) \geq 10 \)
- [ ] E. The samples are dependent.
- [ ] F. The sample size is more than 5% of the population size for each sample.
**Hypotheses:**
- Null Hypothesis (\( H_0 \)): \( p_1 = p_2 \)
- Alternative Hypothesis (\( H_1 \)): \( p_1 > p_2 \)
**Test Statistic:**
The test statistic for this hypothesis test is calculated to be 2.32 (rounded to two decimal places).
**P-value Determination:**
Calculate the P-value for this hypothesis test based on the test statistic.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9286dec2-87de-41e0-b292-cb9e24765e4b%2F56adf5f3-9c1d-4672-b562-7d5f1e83c6dd%2Frs545e6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Clinical Trial Analysis of a New Vaccine**
In a randomized, double-blind clinical trial of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 104 of 699 subjects in the experimental group (group 1) experienced drowsiness as a side effect. In the control group (group 2), 61 of 580 subjects experienced drowsiness after the second dose.
**Research Question:**
Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α = 0.05 level of significance?
**Model Requirements Verification**
Select all that apply:
- [x] A. The samples are independent.
- [ ] B. The data come from a population that is normally distributed.
- [x] C. The sample size is less than 5% of the population size for each sample.
- [x] D. \( n_1 \hat{p}_1 (1 - \hat{p}_1) \geq 10 \) and \( n_2 \hat{p}_2 (1 - \hat{p}_2) \geq 10 \)
- [ ] E. The samples are dependent.
- [ ] F. The sample size is more than 5% of the population size for each sample.
**Hypotheses:**
- Null Hypothesis (\( H_0 \)): \( p_1 = p_2 \)
- Alternative Hypothesis (\( H_1 \)): \( p_1 > p_2 \)
**Test Statistic:**
The test statistic for this hypothesis test is calculated to be 2.32 (rounded to two decimal places).
**P-value Determination:**
Calculate the P-value for this hypothesis test based on the test statistic.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 7 steps with 16 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