Question

Golf and Chi-Square Tests

Discussion

Introduction

This discussion provides a simulated exercise using two of the most popular Chi-Square statistical tests. You are strongly encouraged to complete the textbook reading and start the MyStatLab Homework assignment before beginning this discussion. You need to be familiar with the Chi-Square distribution, its interpretation, and how results are typically calculated and reported together.

In this discussion, you are required to calculate and interpret your findings.

Review the information in each section and participate in the discussion.

Golf Rounds Scenario

As the Director of Golf for the Links Group, you are trying to determine if there is a significant difference in the number of rounds of golf played based on the day of the week. So far, you've gathered the following sample information for 520 rounds.

Day of the Week	Number of Rounds Played
Monday	124
Tuesday	74
Wednesday	104
Thursday	98
Friday	120

Now, you need to use the sample to answer these questions. For each question, the null hypothesis is that the cell categories are equal, and the significance level is .05.

• Is there a significant difference in the rounds of golf played during the week? Why is your choice appropriate?
• What is the critical value and number of degrees of freedom for the Chi-Square statistic?
• What is your decision regarding the null hypothesis? Why is your decision appropriate?

Golf Ball Quality Scenario

In addition to determining if there is a significant difference in the number of rounds of golf played based on the day of the week, you also have to determine which brand of "range balls" to buy for use at the driving range. You are looking for the most durable ball that will hold up for an extended period. You obtained samples of 100 golf balls from four different manufacturers, and your teaching professionals tested them for durability. The table shows the numbers of unacceptable and acceptable golf balls by manufacturer.

Durability	Nike	Srixon	TaylorMade	Titleist
Unacceptable	12	8	5	11
Acceptable	88	92	95	89
Total	100	100	100	100

At the .05 significance level, is there a difference in the durability of the range balls? Why is your decision appropriate?

Additional Instructions

Use Excel or Statdisk to answer the questions posed in both scenarios. Remember, the focus of this discussion is understanding and interpreting two different Chi-Square tests.

Answer 1