The table below shows the results of a poll question, \"What is the most importa
ID: 3179047 • Letter: T
Question
The table below shows the results of a poll question, "What is the most important thing that the federal government can do to help improve the economy?" Based on the information, answer the following questions. (a) What level of measurement does this table represent? (b) What is the total sample size including missing cases? (c) What is the total sample size excluding missing cases? (d) Calculate the valid relative frequency, and cumulative relative frequency, and complete the table. (Calculate to the first decimal. E.g. 47.4%) (e) What are the appropriate measures of central tendency for this variable? Identify the central tendency this variable. (f) What is appropriate measure of the dispersion for this variable? calculate the dispersion and the interpret the value. Use only valid responses the total number. (Calculate to the second decimal. E 0.32) Interpretation:Explanation / Answer
Answer:
a. It is a nominal level of measurement because data is categorical.
b. Total sample size = 360 + 240 + 180 + 220 + 20 = 1020
c. Total sample size = 360 + 240 + 180 + 220 = 1000
d. Valid relative frequency
Opinion
Frequency
Relative frequency
Valid frequency
Valid relative frequency
Cumulative relative frequency
Create jobs
360
35.3%
360
36%
36%
Congress works together
240
23.5%
240
24%
60%
Balance the budget
180
17.6%
180
18%
78%
Stop military intervention
220
21.6%
220
22%
100%
No opinion
20
12%
Totals
1020
100%
1000
100%
e. Mode because it has the highest frequency.
f. Dispersion = 1 – F(mode)/N
Dispersion = 1 – 360/1000
Dispersion = 0.64 or 64%
64% of people lies in the category of create jobs.
Opinion
Frequency
Relative frequency
Valid frequency
Valid relative frequency
Cumulative relative frequency
Create jobs
360
35.3%
360
36%
36%
Congress works together
240
23.5%
240
24%
60%
Balance the budget
180
17.6%
180
18%
78%
Stop military intervention
220
21.6%
220
22%
100%
No opinion
20
12%
Totals
1020
100%
1000
100%
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