Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table
Factor Personal Friend Stay in Touch Mutual Friends Business Networking Other 600 210 105 650 224
What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?
a. 0.5
b. 5
c. 7.5
d. 30
e. 45

Sagot :

okpalawalter8

Complete Question

A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table

Factor

Personal Friend,Stay in Touch,Mutual Friends,Business Networking Other

Men           600 210 106 45 40

Women      650 224 65 15  46

What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?

a. 0.5

b. 5

c. 7.5

d. 30

e. 45

Answer:

Correct option is C

Step-by-step explanation:

From the question we are told that:

Sample

[tex]n =1,000 men+ 1,000 women[/tex]

Factor  Table

Personal Friend,Stay in Touch,Mutual Friends,Business, Networking Other

Men           600 210 105 45 40

Women      650 224 65 15  46

Generally the equation for Expected value for Men, Business and networking X is mathematically given by

[tex]X= \frac{Row Total * Column Total}{Grand Total}[/tex]

[tex]X=\frac{(600 + 210 + 105 + 45 + 40)*(45 + 15)}{(600 + 210 + 105 + 45 + 40 + 650 + 224 + 65 + 15 + 46)}[/tex]

[tex]X=30.015[/tex]

Generally the equation for Chi Contribution is mathematically given by

[tex]Y= {(45 - 30.015)^2}{30.015}[/tex]

[tex]Y=7.48[/tex]

[tex]Y \approx 7.5[/tex]

Therefore

Correct option is C

MrRoyal

The contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5

The expected value is calculated as:

[tex]X = \frac{RT * CT}{GT}[/tex]

Where:

RT represents the row total, CT represents the column total and GT represents the grand total.

For Men, Business and networking, we have:

[tex]X = \frac{(600+ 210 +105+45 + 40) * (45 + 15)}{(600 +210 +105 +45 +40 +650 +224 +65 +15 +46)}[/tex]

Evaluate the sum

[tex]X = \frac{1000 * 60}{2000}[/tex]

[tex]X = 30[/tex]

The contribution to the chi square test statistic for men who selected business networking is then calculated as:

Y = (Business Networking - X)^2 / X

This gives

[tex]Y = \frac{(45 - 30)^2}{30}[/tex]

Evaluate the difference

[tex]Y = \frac{15^2}{30}[/tex]

Evaluate the exponent

[tex]Y = \frac{225}{30}[/tex]

Evaluate the quotient

[tex]Y = 7.5[/tex]

Hence,  the contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5

Read more about chi square test statistic at:

https://brainly.com/question/19959558

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.