Math 160/263 – Assignment #5
Title: Hypothesis Testing
Worksheet: data5084.MTW; data5084a.MTW
The purpose of this assignment is to carry out Hypothesis Testing using
Minitab. This assignment uses material in Chapters 14 and 16 of the Minitab
Manual.
The Z Statistic Hypothesis Test for Proportions
Records for the 2005-2006, 2006-2007, 2007-2008 and 2008-2009 seasons for
the U of A men’s basketball team are in data5084.MTW. (Source: University
of Arizona Athletics Home Page). We wish to test whether or not there is a
“Home-court Advantage.”
1. Using Stat ⇒Tables ⇒Tally Individual Variables compute the over-
all percentage of games Arizona has won. Select “Counts” and “Percents”
for the column “W/L.”
2. Now determine if Arizona has a better record at home than away. Use
Data ⇒Unstack Columns to “Unstack the data in” “W/L” into two
new columns, “Using subscripts in” “Home or Away.” Put the unstacked
data “after last column in use” in your worksheet. Use Stat ⇒Tables
⇒Tally Individual Variables to display the “Counts” and “Percents”of
home games and away games won.
3. State the null and alternate hypotheses for a test to determine if Arizona
has a greater proportion of wins at home than away.
4.Use the Stat ⇒Basic Statistics ⇒2 Proportions dialog Box and enter
the summarized data to perform a z-test for the equality of two proportions.
Select “Samples in different columns.” The data for “First” will be the W/L
for home games, for “Second” will be the W/L for away games. In the
“2-Proportion Options” dialog box, enter the following:
a. 95.0 in the “Set Confidence Level” window
b. 0.0 in the “Test difference” window
c. Select “Greater than” in the drop-down “Alternative” window.
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