Hypothesis Testing - Basic Statistics - Assignment 5 | MATH 160, Assignments of Statistics

Download Hypothesis Testing - Basic Statistics - Assignment 5 | MATH 160 and more Assignments Statistics in PDF only on Docsity! 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. 1