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To gauge the reactions of possible customers, the manufacturer of a new type of

ID: 3039779 • Letter: T

Question

To gauge the reactions of possible customers, the manufacturer of a new type of cellular telephone displayed the product at a kiosk in a busy shopping mall. The table to the right summarizes the results for the customers who stopped to look at the phone.

a) Is the reaction to the new phone associated with the sex of the customer? How strong is the association?

Since V = ________ is ______ (somewhat large, large, rather small, or approximately 0), there is _____ (weak, strong, moderate, or no) association between the two variables.

To gauge the reactions of possible customers, the manufacturer of a new type of cellular telephone displayed the product at a kiosk in a busy shopping mall. The table to the right summarizes the results for the customers who stopped to look at the phone.

a) Is the reaction to the new phone associated with the sex of the customer? How strong is the association?

Since V = ________ is ______ (somewhat large, large, rather small, or approximately 0), there is _____ (weak, strong, moderate, or no) association between the two variables.

Male 31 Female 18 Favorable Ambivalent Unfavorable 26 7

Explanation / Answer

Ans:

Chi square test of indpendence:

df=(3-1)*(2-1)=2

p-value=chidist(5.639,2)=0.0596

Assume significance level=0.05

As,p-value>0.05,we fail to reject null hypothesis.

There is insufficient evidence to suggest that  reaction to the new phone associated with the sex of the customer.

n=135

Effect size(strength of association):

Carmer's V=sqrt(5.639/(135*2))=0.145,which is the small effect size.

(weak association)

Refer the table below:

Observed(O) Male Female Total Favorable 31 18 49 Ambivalent 44 9 53 Unfavorable 26 7 33 Total 101 34 135 Expected(E) Male Female Total Favorable 36.66 12.34 49 Ambivalent 39.65 13.35 53 Unfavorable 24.69 8.31 33 Total 101 34 135 Chi square=(O-E)^2/E Male Female Favorable 0.874 2.595 Ambivalent 0.477 1.416 Unfavorable 0.070 0.207 Total calculated Chi square =5.639
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