A Research Project Was Conducted to Study the Effect of a Chemical

question 30

Multiple Choice

A research project was conducted to study the effect of a chemical on undesired insects.The researcher uses 6 dose levels, and at each level exposes 250 insects to the chemical and proceeds to count the number of insects that die.The researcher uses a binary logistic regression model to estimate the probability of death as a function of dose. Shown below is Minitab output from a logistic regression.
$$\begin{array} { l c c c r r r } \text { Coefficients } \\& & & & & \\\text { Term } & \text { Coef } & \text { SE Coef } & 95 \% \text { CI } & \text { Z-Value } & \text { P-Value } & \text { VIF } \\\text { Constant } &- 2.644 & 0.156 & ( - 2.950 , - 2.338 ) & - 16.94 & 0.000 & \\\text { Dose } & 0.6740 & 0.0391 & ( 0.5973,0.7506 ) & 17.23 & 0.000 & 1.00 \\& & & &\end{array}$$

$\begin{array}{l}\text { Odd Ratios for Continuous Predictors } \\\text { Odds Ratio } \quad \quad 95 \% \mathrm{CI} \\\text { Dose } \quad 1.9621 \quad(1.8173,2.1184) \end{array}$

The predicted probability that an insect will die when exposed to the first dose is ____.

• A)0.0814
• B)0.1046
• C)0.1153
• D)0.1224
• E)0.1395

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Definitions:

Intermediate Scrutiny

A test used in some contexts by courts to determine a law's constitutionality, requiring the law to further an important government interest by means that are substantially related to that interest.

Equal Protection Clause

A provision of the Fourteenth Amendment to the United States Constitution prohibiting states from denying any person within its jurisdiction the equal protection of the laws.

Gender-based Classification

Differentiation or segregation of individuals based on gender, often scrutinized for its implications on equality and discrimination.

Judicial Review

The power of courts to examine and invalidate actions of the legislative and executive branches of government if they are contrary to the constitution.