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...


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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<br>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<br>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?<br>YA. The samples are independent.<br>O B. The sample size is more than 5% of the population size for each sample.<br>O c. The data come from a population that is normally distributed.<br>O D. The samples are dependent.<br>YE. The sample size is less than 5% of the population size for each sample.<br>YF.<br>n,pi (1-P1) 2 10 and nap2 (1-2) 2 10<br>Determine the null and alternative hypotheses.<br>Họ: P1 = P2<br>H: P1 > P2<br>Find the test statistic for this hypothesis test.<br>1.67 (Round to two decimal places as needed.)<br>Determine the P-value for this hypothesis test.<br>0.047 (Round<br>three decimal places as needed.)<br>Interpret the P-value.<br>If the population proportions are<br>(Round to the nearest integer as needed.)<br>equal,<br>one would expect a sample difference proportion<br>greater than<br>the one observed in about<br>out of 1000 repetitions of this experiment.<br>

Extracted text: 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? 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. YF. n,pi (1-P1) 2 10 and nap2 (1-2) 2 10 Determine the null and alternative hypotheses. Họ: P1 = P2 H: P1 > P2 Find the test statistic for this hypothesis test. 1.67 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. 0.047 (Round three decimal places as needed.) Interpret the P-value. If the population proportions are (Round to the nearest integer as needed.) equal, one would expect a sample difference proportion greater than the one observed in about out of 1000 repetitions of this experiment.
Jun 01, 2022
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