Elementary Statistics Departmental Final Exam Part I (Form B) EmplID Problem # 4

Question

Elementary Statistics Departmental Final Exam Part I (Form B) EmplID Problem # 4 (12 points) In a survey, 260 students in a high school were asked where they prefer to do their holiday shopping. Possible responses were 'online' and 'in a store. The students were also categorized as male or female. The following table records the data collected. Give all your answers rounded to three decimal digits. Online In Store Total Female 143 Male 18 161 11 99 Total 231 29 260 a. Wh at proportion of students answered that they prefer to shop for gifts online? (2 points) b. What proportion of students are females and prefer to shop in store? (2 points) What proportion of female students answered that they prefer to shop for gifts online? c. 2 points) d. What proportion of male students answered that they prefer to shop for gifts online? (2 points) Based on the findings above, can we conclude that gift shopping preferences of these high school students is related to gender? Provide evidence for your conclusion. e. 4 points) Show your work. Partial credit will be given.

Explanation / Answer

a) p(online) =231/260=0.8884

b) P(female and prefer store) =18/260=0.0692

c) P(online|female) =143/161 =0.8882

d) P(online|male) =88/99=0.8889

e)as P(online|female) and P(online|male) and P(online) are approximately equal therefore we can not conclude that shopping preference of high school students is related to gender.

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