Suppose that a polling company surveyed 600 people about how much time they spen

Question

Suppose that a polling company surveyed 600 people about how much time they spend using the Internet each week. The results of this survey were compiled and used to create this relative frequency histogram. 30 20 10 12 16 24 28 32 36 Weekly hours of internet use bers. Each of the bars in this histogram includes only the Assume that all percentages shown in the histogram are whole num left endpoint of the class except for the last bar, which also includes the right endpoint. What percentage of respondents said that they use the Internet less than 12 hours per week? How many respondents said that they use the Internet between 16 and 24 hours per week? respondents Which of the following statements about the amount of time the respondents spend using the Internet is true? O Fewer than 10% of respondents spend at least 28 hours using the Internet each week. OThe greatest amount of time an individual respondent spends using the Internet each week is 36 hours A majority of respondents spend between four and eight hours using the Internet per week. More than half of the respondents spend at least 12 hours using the Internet per week.

Explanation / Answer

a) The percntage of respondents said that they use the internet less than 12 hours = 23% + 25% +15%

= 65%

b) The number of respondents said that they use internet between 16 and 24 hours

= The number of respondents said that they use internet between 16 and 20 hours +

The number of respondents said that they use internet between 20 and 24 hours

= 48 + 30

=78

c) i) The number of respondants spend atleast 28 hours =570 = 95% of total no. of respondents

The given statement fewer than 10% of responds spend at least 28 hours using the internet each week is False.

ii) The greatest amount ot time an indivisiual respondant spends using the internet each week is 36 hours, hence the given statement is true.

iii) A Maximum number of respondents is 162 for the individuals respondents spend between four and eight hours using the internet per week. Hence the given statement is true.

iv) The number of respondents spend at least 12 hours using the internet per week = 390 which is more than half of the total respondents.

Hence the statement more than half of the respondents spend at least 12 hours using the internet per week is true.

weekly hours of Internet use Relative Frequency No . Of Respondant Cumulative Frequency 0-4 23% 138 138 4-8 27% 162 300 8.0-12.0 15% 90 390 12.0-16.0 12% 72 462 16-20 8% 48 510 20-24 5% 30 540 24-28 5% 30 570 28-32 3% 18 588 32-36 2% 12 600 Total 100% 600

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