Question

A national survey asked people, "How often do you eat out for dinner. (a) Construct a relative frequency distribution of the data. instead of at home?" The frequencies were as follows. Complete parts (a) through (9) Response Relative Frequency Never Response Frequency Rarely Never 356 Sometimes Rarely 461 Most of the time Sometimes 929 Most of the time Always 410 Always 39 (Round to three decimal places as needed.) (b) What percentage of respondents answered "Always? DOOD (Round to one decimal place as needed.) (c) What percentage of respondents answered "Never" or "Rarely? (Round to one decimal place as needed.) (d) Construct a frequency bar graph. Choose the correct answer below OA Gube 1000 750 500 250 Frequency 1000 7504 500 250 OC Frequency 1000 7504 500 250 (e) Construct a relative frequency bar graph. Choose the correct answer below ОА Relive Free ae Relative Free da OC Relative Free 8. Construct a pie chart. Choose the correct answer below OA

Answer 1

a)
The realtive frequency for each categpry = (its count or frequency)/(total surveyed people)
Total surveyed people = 356+461+929+410+39 = 2195
Therefore following is the relative frequency table:

Never 0.1621 Rarely 0.2100 Sometimes 0.4232 0.1867 Most of the time Always 0.0177

b)
answer = 0.0177*100 = 1.77% ~ 1.8% ,rounding off
c)
answer = (0.1621+0.2100)*100 = 37.21% ~ 37.2% , rounding off
d)
frequency bar chart looks like below:

1000 - 800 600 Count 400 200 0- Rarely Never Most of the time Sometimes Always Categories

Therefore option A is the correct answer

e)
The relative frequency bar chart is :

0.5- 0.4 0.3 Count 0.2 0.1 0- Rarely Never Most of the time Sometimes Always Categories

Option B chart is the correct answer.

f)
Pie chart is as follows:

Hence rotating this chart we can see that it matches with the Option C pie chart
hence option C is correct answer

g)
If the surveyed group of people is a sample from population then the claim made is an inferential statement
If the surveyed group of people is the whole population then the claim made is a descriptive statement
As the the term sample isn't used any where hence we can assume the whole population was surveyed so its a descriptive statement.

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