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.
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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