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

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Chapter11: Data Analysis And Probability
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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 x = 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. ₁P₁ (1-P₁) ≥ 10 and n₂P₂ (1-P₂) ² 10
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.
= P2
Н0-1
Н1-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.
w..
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, 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 x = 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. ₁P₁ (1-P₁) ≥ 10 and n₂P₂ (1-P₂) ² 10 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. = P2 Н0-1 Н1-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. w..
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