Chapter 11: The Chi-Square Distribution

$df=-----$

How many passengers are expected to travel between $201$ and $300$ miles and purchase second-class tickets?

How many passengers are expected to travel between $401$ and $500$ miles and purchase first-class tickets?

When does the chi-square curve approximate a normal distribution?

What is the test statistic?

What is the p-value?

Use the following information to answer the next seven exercises: Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of \(200\) passengers is taken. Table 11.31 shows the results.

The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.

What is the \(p-\)value?

What can you conclude at the $5\%$ level of significance?

Complete the table

$\begin{array}{|lllllll|}\hline \begin{array}{l}\text{Smoking Level}\\ \text{Per Day}\end{array}& \begin{array}{l}\text{African}\\ \text{American}\end{array}& \begin{array}{l}\text{Native}\\ \text{Hawaiian}\end{array}& \text{Latino}& \begin{array}{l}\text{Japanese}\\ \text{Americans}\end{array}& \text{White}& \text{TOTALS}\\ 1-10& & & & & & \\ 11-20& & & & & & \\ 21-30& & & & & & \\ 31+& & & & & & \\ \text{TOTALS}& & & & & & \\ \hline\end{array}$

State the hypotheses.

${\mathrm{H}}_0$ :

$H_a$: