Question

A marketing company wants to research whether the type of phone used by an individual is...

A marketing company wants to research whether the type of phone used by an individual is independent of the type of response from the individual. The company surveyed respondents by phone, drawing a random sample of landline telephones and another random sample of mobile phones.

There were 3 types of responses: No Answer, Voicemail and Person answers phone

Mobile

Landline

Total

No Answer

552

42

594

Voicemail

3347

2843

6190

Person answers phone

8399

8612

17,011

Total

12,298

11,497

23,795

A) State the hypotheses to test for independence.

B) Write down the degrees of freedom AND the critical value for α = 10%.

C) You are now told that the calculated Chi square statistic value is 145.13. Use this to make your decision and AND briefly explain how you made your decision AND give your conclusion.

Homework Answers

Answer #1

b)

Level of Significance =   0.1
Number of Rows =   3
Number of Columns =   2
Degrees of Freedom=(#row - 1)(#column -1) = (3- 1 ) * ( 2- 1 ) =   2
Critical Value =   4.605
[ Excel function: =CHISQ.INV.RT(α,DF) ]

c)

Decision: test stat,X² > critical value , So, Reject the null hypothesis  
there is enough evidence to conclude that  the type of phone used by an individual is dependent of the type of response from the individual.

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