NW Prevnar The drug Prevnar is a vaccine meant to prevent certain types of bacterial meningitis, typically administered to infants around 2 months. In randomized, double-blind clinical trials of Prevnar, infants were randomly divided into two groups. Subjects in group 1 received Prevnar while subjects in group 2 received a control vaccine. After the first dose, 107 of 710 subjects in the experimental group (group 1) experienced fever as a side effect. After the first dose, 67 of 611 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 = 0.05 level of significance?
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Fundamentals of Statistics (5th Edition)
- What is meant by the sample space of an experiment?arrow_forwardWhat is an experiment? Give two examples.arrow_forwardIn randomized, double-blind clinical trials of a new vaccine, infants 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, 129 of 674 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 86 of 555 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 = 0.10 level of significance? Verify the model requirements. Select all that apply. YA. The samples are independent. O B. The sample size is more than 5% of the population size for each sample. O c. The data come from a population that is normally distributed. O D. The samples are dependent. YE. The sample size is less than 5% of the population size for each sample. nội (1-P1) 2 10 and nz2 (1- P2) 2…arrow_forward
- In randomized, double-blind clinical trials of a new vaccine, infants 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, 129 of 674 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 86 of 555 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 = 0.10 level of significance? Verify the model requirements. Select all that apply. O A. The samples are independent. O B. The sample size is more than 5% of the population size for each sample. O c. The data come from a population that is normally distributed. O D. The samples are dependent. O E. The sample size is less than 5% of the population size for each sample. OF. n,Pi (1-ê) 2 10 and nz2…arrow_forwardIn randomized, double-blind clinical trials of a new vaccine, infants 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, 126 of 387 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 158 of 574 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=0.01 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. n1p11−p1≥10 and n2p21−p2≥10 C. The samples are dependent. D. The sample size is more than 5% of the population size for each sample. E. The samples are independent. F. The data come…arrow_forwardIn randomized, double-blind clinical trials of a new vaccine, children 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, 125 of 746 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 82 of 627 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 a= 0.01 level of significance? Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)arrow_forward
- In randomized, double-blind clinical trials of a new vaccine, children 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, 125 of 746 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 82 of 627 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 x = 0.01 level of significance? IIIIน IG เC เด อ บ เบา เy เเ เ 1.91 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.)arrow_forwardCalcium and Blood Pressure Does increasing the amount of calcium in our diet reduce blood pressure? Examination of a large sample of people revealed a relationship between calcium intake and blood pressure. Such observational studies do not establish causation. Researchers therefore designed a randomized comparative experiment. The subjects were 21 healthy men who volunteered to take part in the experiment. They were randomly assigned to two groups: 10 of the men received a calcium supplement for 12 weeks, while the control group of 11 men received a placebo pill that looked identical. The experiment was double-blind. The response variable is the decrease in systolic (top number) blood pressure for a subject after 12 weeks, in millimeters of mercury. An increase appears as a negative number. Do the data provide convincing evidence that a calcium supplement reduces blood pressure more than a placebo, on average, for subjects like the ones in this study? Group 1 (calcium) Group (placebo)…arrow_forwardIn randomized, double-blind clinical trials of a new vaccine, children 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, 111 of 361 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 141 of 624 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 a= 0.10 level of significance? Question Help 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. The samples are dependent. D. n,P (1-P) 2 10 and n,p2 (1-pP2 2 10 E. The sample size is less than 5% of the population size for each sample. F. The data come from a population that is normally distributed.…arrow_forward
- In randomized, double-blind clinical trials of a new vaccine, children 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, 116 of 651 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 73 of 532 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? #1 Find the test statistic for this hypothesis test.arrow_forwardIn randomized, double-blind clinical trials of a new vaccine, children 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, 123 of 460 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 24 of 106 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a different proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the a = 0.01 level of significance? Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: P1 =0 versus Ho: P, #0 B. Ho: P =P2 versus H,: P, P2 The test statistic zo is (Round to two decimal places as needed.)arrow_forwardIn 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 664 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 61 of 545 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? Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are one would expect a sample difference proportion the one observed in about out of 1000 repetitions of this experiment. (Round to the nearest integer as needed.) State the conclusion for this hypothesis test. A. Do not reject Ho.…arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning