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A local Honda dealership collects data on customers. Here is data from 311 customers who purchased a Honda Civic. Hybrid Honda Civic Standard-engine Honda Civic Row Totals Male 77 117 194 Female 34 83 117 Column Totals 111 200 311 What does the data suggest about the relationship between gender and engine type? Group of answer choices Women are more likely to purchase a Honda Civic with a standard engine than men. omen are less likely to purchase a Honda Civic with a standard engine than men. Women and men are equally likely to purchase a Honda Civic with a standard engine.

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Answer:

Correct option is: Women are less likely to purchase a Honda Civic with a standard engine than men.

Step-by-step explanation:

Denote the variable as follows:

HHC = Hybrid Honda civic

SHC = Standard-engine Honda Civic

M = male

F = female

The data provided is:

            HHC        SHC      Total

M            77            117         194

F             34            83          117

Total       111          200         311

Compute the probability distribution as follows:

[tex]P (M\cap HHC)=\frac{77}{311}=0.2476[/tex]

[tex]P(M\cap SHC)=\frac{117}{311}= 0.3762[/tex]

[tex]P(F\cap HHC)=\frac{34}{311}= 0.1093[/tex]

[tex]P(F\cap SHC)=\frac{83}{311}= 0.2669[/tex]

[tex]P(M) =\frac{194}{311}= 0.6238[/tex]

[tex]P(F)=\frac{117}{311} =0.3762[/tex]

[tex]P(HHC)=\frac{111}{311}= 0.3569[/tex]

[tex]P(SHC)=\frac{200}{311}= 0.6431[/tex]

The probability table is:

             HHC          SHC      Total

M         0.2476      0.3762    0.6238

F          0.1093       0.2669    0.3762

Total    0.3569      0.6431      1.0000

Consider the probability distribution above.

The proportion of women purchasing a standard engine Honda civic is less then that for men.

Thus, the correct option is: Women are less likely to purchase a Honda Civic with a standard engine than men.

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