bjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 74 of 631 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a gher 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? rify the model requirements. Select all that apply. A. The samples are independent. B. The sample size is more than 5% of the population size for each sample. | C. niêi (1-P1) 2 10 and naP2(1-P2) 2 10 D. The data come from a population that is normally distributed. E. The sample size is less than 5% of the population size for each sample. F. The samples are dependent. atermine the null and alternative hypotheses. P2 :P VP2 nd the test statistic for this hypothesis test. |(Round to two decimal places as needed.) termine the P-value for this hypothesis test. (Round to three decimal places as needed.)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![### Problem Statement
**In randomized, double-blind clinical trials of a new vaccine, monkeys 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, 117 of 750 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 74 of 631 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 α = 0.05 level of significance?
### Verify the model requirements. Select all that apply.
- ☐ A. The samples are independent.
- ☐ B. The sample size is more than 5% of the population size for each sample.
- ☐ C. \[ n_{1}\hat{p}_{1}\left(1 - \hat{p}_{1}\right) \geq 10 \text{ and } n_{2}\hat{p}_{2}\left(1 - \hat{p}_{2}\right) \geq 10 \]
- ☐ D. The data come from a population that is normally distributed.
- ☐ E. The sample size is less than 5% of the population size for each sample.
- ☐ F. The samples are dependent.
### Determine the null and alternative hypotheses.
- \[ H_0 : p_1 \ \text{≠} \ p_2 \]
- \[ H_1 : p_1 \ \text{≠} \ p_2 \]
### Find the test statistic for this hypothesis test.
** (Round to two decimal places as needed.) **
### Determine the P-value for this hypothesis test.
** (Round to three decimal places as needed.) **](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4175707-d254-4126-a791-753312836f35%2Faa46e8d8-35d7-47e3-bd71-59c1c44980e6%2F3btk1fk_processed.png&w=3840&q=75)
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