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. 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. nP1 (1-P1) 2 10 and naP2 (1-P2) 2…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, 115 of 677 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 72 of 558 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 = 0.01 level of significance? Verify the model requirements. Select all that apply. A. The samples are independent. B. The samples are dependent. C. The data come from a population that is normally distributed. D. The sample size is more than 5% of the population size for each sample. E. The sample size is less than 5% of the population size for each sample. n,Pi (1- ê1) 10 and nyê2 (1-ê2) 1 F. P) 2…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, 115 of 677 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 72 of 558 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 = 0.01 level of significance? Verify the model requirements. Select all that apply. A. The samples are independent. B. The samples are dependent. C. The data come from a population that is normally distributed. D. The sample size is more than 5% of the population size for each sample. E. The sample size is less than 5% of the population size for each sample. F. n, p1 (1-p1) 2 10 and n2p2(1- P2) 2 10…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, 115 of 677 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 72 of 558 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 = 0.01 level of significance? Verify the model requirements. Select all that apply. A. The samples are independent. B. The samples are dependent. C. The data come from a population that is normally distributed. The sample size is more than 5% of the population size for each sample. E. The sample size is less than 5% of the population size for each sample. F. n, p1 (1-P1 2 10 and n2p2 1- P2) 2 10…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 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_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, 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, 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_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, 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_forward
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