The Table Shows Crashworthiness Ratings for Several Categories of Motor

question 41

Short Answer

The table shows crashworthiness ratings for several categories of motor vehicles. Take X as the crash-test rating of a small car, ​Y as the crash-test rating for a small SUV, and so on, as shown in the table. $\begin{array}{l|l|l|l|l|l}\hline&&\text { Overall Frontal Crash Test Rating }\\\hline & \text { Number Tested } & \begin{array}{l}\mathbf{3} \\(\text { Good) }\end{array} & \begin{array}{l}\mathbf{2} \\\text { (Acceptable) }\end{array} & \begin{array}{l}\mathbf{1} \\\text { (Marginal) }\end{array} & \begin{array}{l}\text { (Poor) }\end{array} \\\hline \text { Small Cars } \boldsymbol{X} & 16 & 1 & 11 & 2 & 2 \\\hline \text { Small SUVs } \boldsymbol{Y} & 12 & 2 & 4 & 4 & 2 \\\hline \text { Medium SUVs } \boldsymbol{Z} & 15 & 3 & 5 & 3 & 4 \\\hline \text { Passenger Vans } \boldsymbol{U} & 13 & 3 & 0 & 3 & 7 \\\hline \text { Midsize Cars } V & 15 & 3 & 5 & 0 & 7 \\\hline \text { Large Cars } W & 19 & 9 & 5 & 3 & 2\\\hline\end{array}$ ​
Find the category that has the lowest probability of a Good rating.

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Definitions:

P-value

The probability of observing results as extreme as the results actually observed, under the assumption that the null hypothesis is true.

Hypotheses

Proposed explanations for a phenomenon, set as a basis for further investigation to prove or disprove.

Forbes 500 List

An annual ranking of the top 500 publicly traded companies in the United States by Forbes magazine, based on criteria such as sales, profits, and market value.

Regression

A statistical method used for estimating the relationships among variables, often to predict the value of a dependent variable based on the values of one or more independent variables.