Question

A public opinion survey explored the relationship between age and support for

increasing the minimum wage. The results are found in the following table.
Ages 21-
40
Ages 41-
60
Over 60
TOTAL
For
25
30
50
105
Against
20
30
20
70
No
Opinion
5
15
5
25
TOTAL
50
75
75
200
1. In the 41 to 60 age group, what percentage supports increasing the minimum
wage? Explain how you arrived at your percentage. What type of probability is
this? Joint, marginal, or conditional?

Answer 1

To calculate the percentage of support for increasing the minimum wage in the 41 to 60 age group, we need to consider the number of people in that group who are "For" increasing the minimum wage and divide it by the total number of people in that age group.

From the table, we can see that in the 41 to 60 age group, there are 30 people who are "For" increasing the minimum wage.

Total number of people in the 41 to 60 age group = 75

To calculate the percentage, we use the formula: (Number of people "For" / Total number of people) * 100

Percentage of support for increasing the minimum wage in the 41 to 60 age group = (30 / 75) * 100 = 40%

The probability in this case is a marginal probability because we are calculating the probability of a specific outcome (support for increasing the minimum wage) within a specific age group (41 to 60).