Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Compute Using: Data provided in the problem to the left and the Chi-Square Calculator to the left. A sample of 500 shoppers was selected in

Compute Using: Data provided in the problem to the left and the Chi-Square Calculator to the left.

A sample of 500 shoppers was selected in a large metropolitan area to collect information concerning consumer behavior. Among the questions asked was, "Do you enjoy shopping for clothing?" The results are summarized in the table to the left.

1. Is there evidence of a significant difference between the proportion of males and females who

enjoy shopping for clothing at the 0.01 level of significance?

a. State the decision rule

b. Report the test statistic

c. Reporting your findings/results of your data analysis.

2. Determine the p-value and interpret its meaning.

3. If 206 males enjoyed shopping for clothing and 34 did not, is there evidence of a significant difference between the proportion of males and females who enjoy shopping for clothing at the 0.01 level of significance?

4. If 206 males enjoyed shopping for clothing and 34 did not, determine the p-value and interpret its meaning.

5. If you were an organizational consultant for the business who conducted this survey, how would you use these data in an organizational diagnosis? What additional information would you want to know to complete the organizational diagnosis and make a project improvement recommendation? Explain the importance of the given and additional needed information.

Chi-Square Test Calculator
Observed Frequencies
Call to Action Button Calculations
Enjoy? Male Female Total fo-fe
Yes 136 224 360 -36.8000 36.8000
No 104 36 140 36.8000 -36.8000
Total 240 260 500
Expected Frequencies
Call to Action Button
Enjoy? Male Female Total (fo-fe)^2/fe
Yes 172.8000 187.2000 360 7.8370 7.2342
No 67.2000 72.8000 140 20.1524 18.6022
Total 240 260 500
Data
Level of Significance 0.01
Number of Rows 2
Number of Columns 2
Degrees of Freedom 1
Results
Critical Value 6.6349
Chi-Square Test Statistic 53.8258
p-Value 0.00000000
Reject the null hypothesis

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Mathematics For The Liberal Arts

Authors: Donald Bindner, Martin J Erickson, Joe Hemmeter

1st Edition

1118371747, 9781118371749

More Books

Students also viewed these Mathematics questions