Math 2209 6 Minitab Assignment on Chapter 26 Fall 2015

Is the attitude towards allowing women to be topless on Toronto beaches different for men and women?

Forum Reseach conducted a telephone survey on August 25th 2014 of 931 randomly sampled Torontonians 18 years of age and older. Each person was asked ‘Would you approve or disapprove of women being allowed to go topless at city beaches?’.

The results are in the table below.

Frequency of Attitudes towards topless beaches

Gender Approve Disapprove Don’t know

Male 231 122 39

Female 173 280 86

Do not type these data into Minitab. The data is available on your course Moodle site in the file Beaches.MTW to download into Minitab directly. In Minitab, C1 is the “Approve” column, C2 is the “Disapprove” column and C3 is the “Don’t know”.

Minitab (version 17) instructions (use this if you have a PC):

1. Download the Minitab data file Beaches.MTW from your M2209 class Moodle page and open it.

2. Type your name and ID in the session window.

3. Perform a chi-squared analysis using Minitab, as follows:

Stat > Tables > Chi-Square Test for Association ….

Select Summarized data in two-way table from pull-down menu. Click in the box to make it active and double-click on C1 through C3 to make them appear in this box. Click Statistics and select

Chi-square test, Display counts in each cell, Display marginal counts, Expected cell counts and Each cell’s contribution to chi-square, then click OK and OK. Your results will appear in the session window.

4. Print the session window.

Submit the session window output, and your assignment answers completed on the following template.

MAKE SURE YOUR PAGES ARE STAPLED TOGETHER.

Minitab Express for Mac instructions:

1. Download the Minitab data file Beaches.MTW from your M2209 class Moodle page and open it.

2. Perform a chi-squared analysis using Minitab, as follows:

Statistics > Tables > Cross Tabulation

Select Summarized data from two-way table from pull-down menu. Then double-click on C1 through C3 to make them appear in the appropriate space. Click Display and select Chi-square test for association, Expected cell counts and Each cell’s contribution to chi-square, then click OK. Your results will appear in the output window. Click on the output then select File > Print to print the output.

3. This final step is included to make sure you are submitting your own work and not copying someone else’s.

In the Minitab spreadsheet, go to Column C4 and row 1. This means you’ll be right beside the 39, which is the first value in the Don’t know column C3. Type Math2209 in this spot.

Express on PC: Next choose Data > To Text. Enter C4 in the box Recode values in the following columns.

Express on Mac: Choose Data > Recode > To Text. Double-click on C4 so its value appears in values in the following columns.

Under the box Recoded value, replace Math2209 with your name and student number. Then hit OK. The output will appear in the Output window. Select File > Print to print this output.

4. Close Minitab with File > Exit.

Submit the Minitab output, and your assignment answers completed on the following template. MAKE SURE YOUR PAGES ARE STAPLED TOGETHER.

Math 2209 Template Minitab Assignment on Chapter 26 Name:

a) ( 2pts) On your calculator (so not using Minitab), calculate the following and write your answers in the blank provided:

(i) Of women, the proportion that approved of topless beaches.

(ii) Of men, the proportion that approved of topless beaches.

b) (1pt) Based on your answers in (a), does it appear that the attitude towards topless beaches depends on gender? Explain briefly.

c) (3pts) State the hypotheses for the chi-squared test, in plain English.

d) (2pts) What kind of chi-square test is this? (Circle correct answer):

Goodness-of-fit Homogeneity Independence

Give brief explanation:

e) (1 pt) State the test statistic, degrees of freedom and P-value, and highlight or circle these values on the output.

X2 = ____________ df = ______________________ P-value = ____________

f) (1 pt) Show how the degrees of freedom are calculated.

g) (2 pts) Show how the expected value is calculated for the top left cell, men who approve of topless beaches.

h) (1 pt) Give a brief assessment of the strength of the evidence.

i) (3 pts) Give a full conclusion in context.

j) (4 pts) State the assumptions and associated conditions for the chi-squared test. Do they hold for this data?