Question

When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.

Col1 Do you support capital punishment? Yes No No Opinion
Col2 Number of individuals 40 60 50

We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed. The expected frequency for each group is

a. 1/3.
b. 0.333.
c. 50.
d. 0.50.

Answer 1

Option C.

Explanation:

Given information:

Sample size = 150

Number of Opinions = 3 (Yes, No, No Opinion)

Yes = 40

No = 60

No opinion = 50

We need to find the expected frequency for each group.

Expected frequency for each group is the quotient of sample size and number of opinions.

`\text{Expected frequency for each group}=\frac{\text{Sample size}}{\text{Number of Opinions}}`

`\text{Expected frequency for each group}=(150)/(3)`

`\text{Expected frequency for each group}=50`

Therefore, the correct option is C.