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Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places College students may be interested in whether or not their majors have any effect on starting-salaries after graduation. Suppose that $300$recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Table $11.45$shows the data. Conduct a test of independence.

Table$11.45$

Some travel agents claim that honeymoon hot spots vary according to the age of the bride. Suppose that $280$recent brides were interviewed as to where they spent their honeymoons. The information is given in Table $11.46$. Conduct a test of independence

Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

A manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, $643$members of the sports club are randomly selected. Conduct a test of independence.

A manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, $643$members of the sports club are randomly selected. Conduct a test of independence.

$\begin{array}{|lllll|}\hline \text{Sport}& \mathbf{18}-\mathbf{25}& \mathbf{26}-\mathbf{30}& \mathbf{31}-\mathbf{40}& \mathbf{41}\text{and over}\\ \text{racquetball}& 42& 58& 30& 46\\ \text{tennis}& 58& 76& 38& 65\\ \text{swimming}& 72& 60& 65& 33\\ \hline\end{array}$

A major food manufacturer is concerned that the sales for its skinny french fries have been decreasing. As a part of a feasibility study, the company conducts research into the types of fries sold across the country to determine if the type of fries sold is independent of the area of the country. The results of the study are shown in Table $11.48$. Conduct a test of independence.

A major food manufacturer is concerned that the sales for its skinny french fries have been decreasing. As a part of a feasibility study, the company conducts research into the types of fries sold across the country to determine if the type of fries sold is independent of the area of the country. The results of the study are shown in Table 11.48. Conduct a test of independence.

According to Dan Lenard, an independent insurance agent in the Buffalo, N.Y. area, the following is a breakdown of the amount of life insurance purchased by males in the following age groups. He is interested in whether the age of the male and the amount of life insurance purchased are independent events. Conduct a test for independence.

$\begin{array}{|llllll|}\hline \text{Age of Males}& \text{None}& <\mathbf{\backslash (}\mathbf{200}\mathbf{,}\mathbf{000}& \mathbf{\backslash )}\mathbf{200}\mathbf{,}\mathbf{000}\mathbf{-}\mathbf{\backslash (}\mathbf{400}\mathbf{,}\mathbf{000}& \mathbf{\backslash )}\mathbf{401}\mathbf{,}\mathbf{001}\mathbf{-}\mathbf{\backslash (}\mathbf{1}\mathbf{,}\mathbf{000}\mathbf{,}\mathbf{000}& \mathbf{\backslash )}\mathbf{1}\mathbf{,}\mathbf{000}\mathbf{,}\mathbf{001}\mathbf{+}\\ 20-29& 40& 15& 40& 0& 5\\ 30-39& 35& 5& 20& 20& 10\\ 40-49& 20& 0& 30& 15& 30\\ 50+& 40& 30& 15& 0& 10\\ \hline\end{array}$

Suppose that $600$thirty-year-olds were surveyed to determine whether or not there is a relationship between the level of education an individual has and salary. Conduct a test of independence

$\begin{array}{|lllll|}\hline \begin{array}{l}\text{Annual}\\ \text{Salary}\end{array}& \begin{array}{l}\text{Not a high school}\\ \text{graduate}\end{array}& \begin{array}{l}\text{High school}\\ \text{graduate}\end{array}& \begin{array}{l}\text{College}\\ \text{graduate}\end{array}& \begin{array}{l}\text{Masters or}\\ \text{doctorate}\end{array}\\ <\backslash (30,000& 15& 25& 10& 5\\ \backslash )30,000-\backslash (40,000& 20& 40& 70& 30\\ \backslash )40,000-\backslash (50,000& 10& 20& 40& 55\\ \backslash )50,000-\backslash (60,000& 5& 10& 20& 60\\ \backslash )60,000+& 0& 5& 10& 150\\ \hline\end{array}$

Read the statement and decide whether it is true or false.

The number of degrees of freedom for a test of independence is equal to the sample size minus one.

Read the statement and decide whether it is true or false.

The test to use when determining if the college or university a student chooses to attend is related to his or her socioeconomic status is a test for independence.