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.)

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### 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.) **
Transcribed Image Text:### 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.) **
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