In a study investigating maternal risk factors for congenital syphilis, syphilis is treated as a binary outcome variable, where 1 represents the presence of disease in a newborn and 0 represents absence of disease. The estimated coefficients from a logistic regression model containing the predictors cocaine or crack use, marital status, number of prenatal visits to a doctor, alcohol use and level of education are included in the table below. The estimated intercept is not included in the table.   Variable Coefficient Cocaine/Crack Use 1.354 Marital Status 0.779 Number of Prenatal Visits -0.098 Alcohol Use 0.723 Level of Education 0.298 The estimated coefficient of cocaine or crack use has a standard error of 0.162. Construct a 95% confidence interval for the population odds ratio comparing women who used cocaine or crack versus those who did not. Conduct a test of the null hypothesis that the coefficient associated with cocaine or crack use is equal to 0.

MATLAB: An Introduction with Applications
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  1. In a study investigating maternal risk factors for congenital syphilis, syphilis is treated as a binary outcome variable, where 1 represents the presence of disease in a newborn and 0 represents absence of disease. The estimated coefficients from a logistic regression model containing the predictors cocaine or crack use, marital status, number of prenatal visits to a doctor, alcohol use and level of education are included in the table below. The estimated intercept is not included in the table.

 

Variable

Coefficient

Cocaine/Crack Use

1.354

Marital Status

0.779

Number of Prenatal Visits

-0.098

Alcohol Use

0.723

Level of Education

0.298

  1. The estimated coefficient of cocaine or crack use has a standard error of 0.162. Construct a 95% confidence interval for the population odds ratio comparing women who used cocaine or crack versus those who did not.
  2. Conduct a test of the null hypothesis that the coefficient associated with cocaine or crack use is equal to 0.

 

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