185 statistics students were asked the following multiple-choice question: Who a
ID: 3054291 • Letter: 1
Question
185 statistics students were asked the following multiple-choice question: Who are better drivers? A) Men B) Women The accompanying spreadsheet contains the columns ID, SG, and ANS. The ID column serves as a generic identification number. It's not needed for this analysis. The SG column contains the gender of each student and the ANS column contains each student's answer to the question. 1. Organize the data using a 2x2 contingency table. a. Compute the following probabilities and use complete sentences to express each result as a percent. Probability Vae 3. Based on the percentages from above, write a brief summary of the main findings from the data. (Do male and female students seem to have common beliefs on who are better drivers?) ANS: 4. Data from this survey reveal overall beliefs of several students. Beliefs may or may not reflect reality. Using reliable sources, find external evidence that either supports or refutes any beliefs revealed in this survey. In a few sentences, summarize the evidence that you found andExplanation / Answer
Q1
2 x 2 Contingency Table
The entry xij in the table below represents the number of students of gender i who consider drivers gender j as better drivers – for both I and j, 1 represents male and j represents female.
Gender of Student (i)
Gender of Driver (j)
Total
Man
Woman
Male
55
7
62
Female
70
53
123
Total
125
60
185
DONE
Q2
Category
Probability
Percentage
ANS – MEN/SG - Male
55/185 = 0.2973
29.73
ANS – MEN/SG - Female
7/185 = 0.0378
3.78
ANS – WOMEN/SG - Male
70/185 = 0.3784
37.84
ANS – WOMEN/SG - Female
53/185 = 0.2865
28.65
Total
1
100
DONE
Gender of Student (i)
Gender of Driver (j)
Total
Man
Woman
Male
55
7
62
Female
70
53
123
Total
125
60
185
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