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A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 400,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 200,000 children in the experimental group, 41 developed the disease. Of the 200,000 children in the control group, 109 developed the disease. Complete parts (a) through (f) below. D Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of children given the vaccine who developed the disease and p2 represent the population proportion of children given a placebo who developed the disease. Ho: P₁ H₁: P₁ ▼ P₂ P2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are (Round to the nearest integer as needed.) State the conclusion for this hypothesis test. one would expect a sample difference proportion the one observed in about out of 100 repetitions of this experiment. I significance to conclude that the vaccine was effective. significance to conclude that the vaccine was effective. of significance to conclude that the vaccine was effective. OA. Reject Ho. There i sufficient evidence at the a=0.10 level OB. Do not reject Ho. There is sufficient evidence at the a=0.10 level

A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 400,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 200,000 children in the experimental group, 41 developed the disease. Of the 200,000 children in the control group, 109 developed the disease. Complete parts (a) through (f) below. D Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of children given the vaccine who developed the disease and p2 represent the population proportion of children given a placebo who developed the disease. Ho: P₁ H₁: P₁ ▼ P₂ P2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are (Round to the nearest integer as needed.) State the conclusion for this hypothesis test. one would expect a sample difference proportion the one observed in about out of 100 repetitions of this experiment. I significance to conclude that the vaccine was effective. significance to conclude that the vaccine was effective. of significance to conclude that the vaccine was effective. OA. Reject Ho. There i sufficient evidence at the a=0.10 level OB. Do not reject Ho. There is sufficient evidence at the a=0.10 level

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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) A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 400,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 200,000 children in the experimental group, 41 developed the disease. Of the 200,000 children in the control group, 109 developed the disease. Complete parts (a) through (f) below. D O Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of children given the vaccine who developed the disease and p2 represent the population proportion of children given a placebo who developed the disease. O Ho: P₁ H₁: P₁ P₂ P2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.). Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are (Round to the nearest integer as needed.) State the conclusion for this hypothesis test. C one would expect sample difference proportion. the one observed in about out of 100 repetitions of this experiment. OA. Reject Ho. There is sufficient evidence at the a=0.10 level of significance to conclude that the vaccine was effective. conclude that the vaccine was effective. OB. Do not reject Ho- here is sufficient evidence at the a=0.10 level of significance OC. Do not reject Ho. There is not sufficient evidence at the a=0.10 level of significance to conclude that the vaccine was effective. f significance to conclude that the vaccine was effective. OD. Reject Ho. There is not sufficient evidence at the a=0.10 level
Transcribed Image Text:) A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 400,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 200,000 children in the experimental group, 41 developed the disease. Of the 200,000 children in the control group, 109 developed the disease. Complete parts (a) through (f) below. D O Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of children given the vaccine who developed the disease and p2 represent the population proportion of children given a placebo who developed the disease. O Ho: P₁ H₁: P₁ P₂ P2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.). Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are (Round to the nearest integer as needed.) State the conclusion for this hypothesis test. C one would expect sample difference proportion. the one observed in about out of 100 repetitions of this experiment. OA. Reject Ho. There is sufficient evidence at the a=0.10 level of significance to conclude that the vaccine was effective. conclude that the vaccine was effective. OB. Do not reject Ho- here is sufficient evidence at the a=0.10 level of significance OC. Do not reject Ho. There is not sufficient evidence at the a=0.10 level of significance to conclude that the vaccine was effective. f significance to conclude that the vaccine was effective. OD. Reject Ho. There is not sufficient evidence at the a=0.10 level
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