Verify the model requirements. Select all that apply. Determine the null and alternative hypotheses. Find the test statistic for this hypothesis test. Determine the​ P-value for this hypothesis test Interpret the​ P-value.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. Verify the model requirements. Select all that apply.
  2. Determine the null and alternative hypotheses.
  3. Find the test statistic for this hypothesis test.
  4. Determine the​ P-value for this hypothesis test
  5. Interpret the​ P-value.
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, 102 of 698 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 59 of 579 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the α = 0.10 level of significance?

**Verify the model requirements. Select all that apply:**

- [ ] A. The sample size is less than 5% of the population size for each sample.
- [ ] B. The samples are independent.
- [ ] C. The samples are dependent.
- [ ] 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 data come from a population that is normally distributed.
- [ ] F. The sample size is more than 5% of the population size for each sample.
Transcribed Image Text: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, 102 of 698 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 59 of 579 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the α = 0.10 level of significance? **Verify the model requirements. Select all that apply:** - [ ] A. The sample size is less than 5% of the population size for each sample. - [ ] B. The samples are independent. - [ ] C. The samples are dependent. - [ ] 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 data come from a population that is normally distributed. - [ ] F. The sample size is more than 5% of the population size for each sample.
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