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Chapter 11: Q. 31 (page 656)

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鈥檚 choice in ticket class is independent of the distance they must travel.

What is the \(p-\)value?

Short Answer

Expert verified

\(p\) value is zero.

Step by step solution

01

Step 1. Given information

Given Table-

02

Step 2. Explanation

The \(p\) value can be calculated using excel sheet by formula as given below,

Therefore \(p\) value is zero.

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Most popular questions from this chapter

The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations.

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 300recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Table 11.45shows the data. Conduct a test of independence.

Major<\(50,000
\)50,000-\(68,999\)69,000+
English5
205
Engineering10
3060
Nursing10
1515
Business10
20
30
Psychology20
3020

Table11.45

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, 643members of the sports club are randomly selected. Conduct a test of independence.

Sport18-2526-3031-4041andover
racquetball42583046
tennis58763865
swimming72606533

Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors.

MajorMen - Expected MajorMen - Actual MajorArts & Humanities11.0%600Biological Sciences6.7%330Business22.7%1130Education5.8%305Engineering15.6%800Physical Sciences3.6%175Professional9.3%460Social Sciences7.6%370Technical1.8%90Other8.2%400Undecided6.6%340

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.

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