10/12 Question HelpIn a clinical trial of a vaccine, 10,000 children were randomly divided into two groups. The subjects in group 1 (the experimental group) were given the vaccine while thesubjects in group 2 (the control group) were given a placebo. Of the 5,000 children in the experimental group, 75 developed the disease. Of the 5,000 children in thecontrol group, 105 developed the disease.Determine whether the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group whocontracted the disease at the a = 0.01 level of significance.Choose the correct null and alternative hypotheses below.ayO A. Ho P; = 0 versus H,: p, < 0B. Ho P1 = P2 versus H, P17P2O C. Ho P =P2 versus H: P1 > P2O D. Ho p1-P2 versus H, P, Question Help vIn a clinical trial of a vaccine, 10,000 children were randomly divided into two groups. The subjects in group 1 (the experimental group) were given the vaccine while thesubjects in group 2 (the control group) were given a placebo. Of the 5,000 children in the experimental group, 75 developed the disease. Of the 5,000 children in thecontrol group, 105 developed the disease.Zo= (Round to two decimal places as needed.)Determine the P-value.The P-value is (Round to three decimal places as needed.)ayWhat is the result of this hypothesis test?O A. Reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted thedisease is less than the proportion of subjects in the control group at a = 0,01.O B. Reject the null hypothesis because there is sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted thedisease is less than the proportion of subjects in the control group at a = 0 01.O C. Do not reject the null hypothesis because there is sufficient evidence to conclude that the proportion of subjects in the experimental group who contractedthe disease is less than the proportion of subjects in the control group at a = 0.01.O D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of subjects in the experimental group whocontracted the disease is less than the proportion of subjects in the control group at a = 0.01.

Solution: Given information: n1= 5000 Sample size of children in experimental groupn2= 5000 Sample…

Question Help y In a clinical trial of a vaccine, 10,000 children were randomly divided into 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 5,000 children in the experimental group, 75 developed the disease. Of the 5,000 children in the control group, 105 developed the disease. Determine whether the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group who contracted the disease at the a= 0.01 level of significance. Choose the correct null and alternative hypotheses below. O A. Ho: P1 = 0 versus H,: P1 <0 O B. Ho P1 =P2 versus H,: p1 #P2 O C. Ho P1 =P2 versus H,: p1 > P2 O D. Ho: P1 =P2 versus H,: p1

Question Help y In a clinical trial of a vaccine, 10,000 children were randomly divided into 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 5,000 children in the experimental group, 75 developed the disease. Of the 5,000 children in the control group, 105 developed the disease. Determine whether the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group who contracted the disease at the a= 0.01 level of significance. Choose the correct null and alternative hypotheses below. O A. Ho: P1 = 0 versus H,: P1 <0 O B. Ho P1 =P2 versus H,: p1 #P2 O C. Ho P1 =P2 versus H,: p1 > P2 O D. Ho: P1 =P2 versus H,: p1

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

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Question Help
In a clinical trial of a vaccine, 10,000 children were randomly divided into 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 5,000 children in the experimental group, 75 developed the disease. Of the 5,000 children in the
control group, 105 developed the disease.
Determine whether the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group who
contracted the disease at the a = 0.01 level of significance.
Choose the correct null and alternative hypotheses below.
ay
O A. Ho P; = 0 versus H,: p, < 0
B. Ho P1 = P2 versus H, P17P2
O C. Ho P =P2 versus H: P1 > P2
O D. Ho p1-P2 versus H, P, <P2
%3D
Determine the test statistic.
Zo = (Round to two decimal places as needed.)
Determine the P-value.

Question Help v
In a clinical trial of a vaccine, 10,000 children were randomly divided into 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 5,000 children in the experimental group, 75 developed the disease. Of the 5,000 children in the
control group, 105 developed the disease.
Zo= (Round to two decimal places as needed.)
Determine the P-value.
The P-value is (Round to three decimal places as needed.)
ay
What is the result of this hypothesis test?
O A. Reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted the
disease is less than the proportion of subjects in the control group at a = 0,01.
O B. Reject the null hypothesis because there is sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted the
disease is less than the proportion of subjects in the control group at a = 0 01.
O C. Do not reject the null hypothesis because there is sufficient evidence to conclude that the proportion of subjects in the experimental group who contracted
the disease is less than the proportion of subjects in the control group at a = 0.01.
O D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of subjects in the experimental group who
contracted the disease is less than the proportion of subjects in the control group at a = 0.01.

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