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the following data were collected in a survey of 8th graders and summarize their

ID: 3295193 • Letter: T

Question

the following data were collected in a survey of 8th graders and summarize their cell phone status....no cell phone-boys=55..no cell phone girls 31....conventional cell phone user...boys=65...girls=78 smart phone user boys=35....girls=27   

A) what proportion of the 8th graders has cell phones

B) what proportion of the boys does not have cell phones

c) is ownership of a cell phone independent of sex? Justify your answer

d) what proportion of smart phone users are boys?

work must be shown on how each answer was obtained

Explanation / Answer

a) Having phones = Tota - (55 + 31) = 291 - 86 = 205

Total students = 86 + 65 + 78 + 35 + 27 = 291

proportion of the 8th graders has cell phones = 205/291 = 0.7045 or 70.45%

b) Boys not having cell = 55

Total boys = 155

proportion of the boys does not have cell phones = 55/155 = 35.48%

c) Considering that 77.21% of girls and 64.52% of boys own a cell phone Iwould say that cell phone ownership is independent of sex because thepercentages are within a close range.

d) Total smartphone users = 62

Boys smartphone users = 35

proportion of smart phone users are boys = 35/62 = 56.45%